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Algebra 1 : How to find the percent of increase

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Example Questions

Example Question #31 : How To Find The Percent Of Increase

Find the percent of increase from $\small 35$ $\displaystyle \small 35$ to $\small 46$ $\displaystyle \small 46$.

Possible Answers:

$\small \approx21\%$ $\displaystyle \small \approx21\%$

$\small \approx34\%$ $\displaystyle \small \approx34\%$

$\small \approx31\%$ $\displaystyle \small \approx31\%$

$\small \approx35\%$ $\displaystyle \small \approx35\%$

Correct answer:

$\small \approx31\%$ $\displaystyle \small \approx31\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$.

"Difference" is simply the difference between the two numbers given, and "original" is the number that is stated usually after the word "from" , example: from $\small #$ $\displaystyle \small #$____ to ____.

In this problem our formula will be filled in as follows:

$\small \frac{46-35}{35} \times 100 = \frac{11}{35}\times 100 \approx31\%$ $\displaystyle \small \frac{46-35}{35} \times 100 = \frac{11}{35}\times 100 \approx31\%$.

This our percent increase.

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Example Question #32 : How To Find The Percent Of Increase

Find the percent of increase from $\small 100$ $\displaystyle \small 100$ to $\small 154$ $\displaystyle \small 154$.

Possible Answers:

$\small 52\%$ $\displaystyle \small 52\%$

$\small 54\%$ $\displaystyle \small 54\%$

$\small 545\%$ $\displaystyle \small 545\%$

$\small 24\%$ $\displaystyle \small 24\%$

Correct answer:

$\small 54\%$ $\displaystyle \small 54\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$.

In this problem our formula will be filled in as follows:

$\small \small \frac{154-100}{100} \times 100 = \frac{54}{100}\times 100 = 54\%$ $\displaystyle \small \small \frac{154-100}{100} \times 100 = \frac{54}{100}\times 100 = 54\%$.

This our percent increase.

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Example Question #31 : How To Find The Percent Of Increase

Find the percent of increase from $\small 14$ $\displaystyle \small 14$ to $\small 45$ $\displaystyle \small 45$.

Possible Answers:

$\small \approx221\%$ $\displaystyle \small \approx221\%$

$\small \approx211\%$ $\displaystyle \small \approx211\%$

$\small \approx21\%$ $\displaystyle \small \approx21\%$

$\small \approx241\%$ $\displaystyle \small \approx241\%$

Correct answer:

$\small \approx221\%$ $\displaystyle \small \approx221\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$.

In this problem our formula will be filled in as follows:

$\small \frac{45-14}{14} \times 100 = \frac{31}{14}\times 100 \approx221\%$ $\displaystyle \small \frac{45-14}{14} \times 100 = \frac{31}{14}\times 100 \approx221\%$.

This our percent increase.

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Example Question #34 : How To Find The Percent Of Increase

Find the percent of increase from $\displaystyle 16$ to $\displaystyle 27$.

Possible Answers:

$\approx89\%$ $\displaystyle \approx89\%$

$\approx69\%$ $\displaystyle \approx69\%$

$\approx99\%$ $\displaystyle \approx99\%$

$\approx29\%$ $\displaystyle \approx29\%$

Correct answer:

$\approx69\%$ $\displaystyle \approx69\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$.

In this problem our formula will be filled in as follows:

$\small \small \frac{27-16}{16} \times 100 = \frac{11}{16}\times 100 \approx69\%$ $\displaystyle \small \small \frac{27-16}{16} \times 100 = \frac{11}{16}\times 100 \approx69\%$.

This our percent increase.

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Example Question #35 : How To Find The Percent Of Increase

Find the percent increase from $\small 10$ $\displaystyle \small 10$ to $\small 20$ $\displaystyle \small 20$.

Possible Answers:

$\small 48\%$ $\displaystyle \small 48\%$

$\small 200\%$ $\displaystyle \small 200\%$

$\small 90\%$ $\displaystyle \small 90\%$

$\small 100\%$ $\displaystyle \small 100\%$

Correct answer:

$\small 100\%$ $\displaystyle \small 100\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$.

In this problem our formula will be filled in as follows:

$\small \small \frac{20-10}{10} \times 100 = \frac{10}{10}\times 100 =100\%$ $\displaystyle \small \small \frac{20-10}{10} \times 100 = \frac{10}{10}\times 100 =100\%$.

This our percent increase.

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Example Question #31 : Percent Of Change

Find the percent of increase from $\small 89$ $\displaystyle \small 89$ to $\small 90$ $\displaystyle \small 90$.

Possible Answers:

$\small \approx9\%$ $\displaystyle \small \approx9\%$

$\small \approx 2\%$ $\displaystyle \small \approx 2\%$

$\small \approx 1\%$ $\displaystyle \small \approx 1\%$

$\small \approx 3\%$ $\displaystyle \small \approx 3\%$

Correct answer:

$\small \approx 1\%$ $\displaystyle \small \approx 1\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$.

In this problem our formula will be filled in as follows:

$\small \frac{90-89}{89} \times 100 = \frac{1}{89}\times 100 \approx 1\%$ $\displaystyle \small \frac{90-89}{89} \times 100 = \frac{1}{89}\times 100 \approx 1\%$.

This our percent increase.

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Example Question #37 : How To Find The Percent Of Increase

Find the percent of increase from $\small 60$ $\displaystyle \small 60$ to $\small 73$ $\displaystyle \small 73$.

Possible Answers:

$\small \approx 42\%$ $\displaystyle \small \approx 42\%$

$\small \approx 82\%$ $\displaystyle \small \approx 82\%$

$\small \approx 22\%$ $\displaystyle \small \approx 22\%$

$\small \approx 12\%$ $\displaystyle \small \approx 12\%$

Correct answer:

$\small \approx 22\%$ $\displaystyle \small \approx 22\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$.

In this problem our formula will be filled in as follows:

$\small \small \frac{73-60}{60} \times 100 = \frac{13}{60}\times 100 \approx 22\%$ $\displaystyle \small \small \frac{73-60}{60} \times 100 = \frac{13}{60}\times 100 \approx 22\%$.

This our percent increase.

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Example Question #31 : How To Find The Percent Of Increase

Find the percent increase from $\small 80$ $\displaystyle \small 80$ and $\displaystyle 90$.

Possible Answers:

$\small 10.5\%$ $\displaystyle \small 10.5\%$

$\small 2.5\%$ $\displaystyle \small 2.5\%$

$\small 10.5\%$ $\displaystyle \small 10.5\%$

$\small 12.5\%$ $\displaystyle \small 12.5\%$

Correct answer:

$\small 12.5\%$ $\displaystyle \small 12.5\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$.

In this problem our formula will be filled in as follows:

$\small \frac{90-80}{80} \times 100 = \frac{10}{80}\times 100 = 12.5\%$ $\displaystyle \small \frac{90-80}{80} \times 100 = \frac{10}{80}\times 100 = 12.5\%$.

This our percent increase.

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Example Question #39 : How To Find The Percent Of Increase

Find the percent of increase from $\small 55$ $\displaystyle \small 55$ to $\small 67$ $\displaystyle \small 67$.

Possible Answers:

$\small \approx32\%$ $\displaystyle \small \approx32\%$

$\small \approx24\%$ $\displaystyle \small \approx24\%$

$\small \approx22\%$ $\displaystyle \small \approx22\%$

$\small \approx29\%$ $\displaystyle \small \approx29\%$

Correct answer:

$\small \approx22\%$ $\displaystyle \small \approx22\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$.

In this problem our formula will be filled in as follows:

$\small \small \frac{67-55}{55} \times 100 = \frac{12}{55}\times 100 \approx22\%$ $\displaystyle \small \small \frac{67-55}{55} \times 100 = \frac{12}{55}\times 100 \approx22\%$.

This our percent increase.

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Example Question #40 : How To Find The Percent Of Increase

Find the percent increase from $\small 75$ $\displaystyle \small 75$ to $\small 90$ $\displaystyle \small 90$.

Possible Answers:

$\small 30\%$ $\displaystyle \small 30\%$

$\small 20\%$ $\displaystyle \small 20\%$

$\small 90\%$ $\displaystyle \small 90\%$

$\small 80\%$ $\displaystyle \small 80\%$

Correct answer:

$\small 20\%$ $\displaystyle \small 20\%$

Explanation:

For this type of problem we use this formula:

$\small \frac{difference}{original} \times 100$ $\displaystyle \small \frac{difference}{original} \times 100$.

In this problem our formula will be filled in as follows:

$\small \frac{90-75}{75} \times 100 = \frac{15}{75}\times 100 = 20\%$ $\displaystyle \small \frac{90-75}{75} \times 100 = \frac{15}{75}\times 100 = 20\%$.

This our percent increase.

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Algebra 1 : How to find the percent of increase

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #31 : How To Find The Percent Of Increase

Example Question #32 : How To Find The Percent Of Increase

Example Question #31 : How To Find The Percent Of Increase

Example Question #34 : How To Find The Percent Of Increase

Example Question #35 : How To Find The Percent Of Increase

Example Question #31 : Percent Of Change

Example Question #37 : How To Find The Percent Of Increase

Example Question #31 : How To Find The Percent Of Increase

Example Question #39 : How To Find The Percent Of Increase

Example Question #40 : How To Find The Percent Of Increase

All Algebra 1 Resources

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