GRE Math : How to find percentage equivalent to a decimal

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Example Questions

Example Question #4 : Decimals And Percentage

Choose the answer below which best expresses the following decimal as a percent:

0.112 $\displaystyle 0.112$

Possible Answers:

$0.112\%$ $\displaystyle 0.112\%$

$112\%$ $\displaystyle 112\%$

$1.12\%$ $\displaystyle 1.12\%$

$11.2\%$ $\displaystyle 11.2\%$

$10.12\%$ $\displaystyle 10.12\%$

Correct answer:

$11.2\%$ $\displaystyle 11.2\%$

Explanation:

To convert a percent into a decimal, simply know that the tenths place of the decimal will correspond to the tens digit of the percent, and the thousandths place of the decimal will correspond to the ones digit of the percent. Any ensuing digits will be behind a decimal in the final percent.

Also converting a decimal to a percent can be accomplished by multiplying the percent by 100.

Therefore, the best answer here is:

$0.112 \cdot 100 =11.2 \rightarrow 11.2\%$ $\displaystyle 0.112 \cdot 100 =11.2 \rightarrow 11.2\%$

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Example Question #1 : How To Find Percentage Equivalent To A Decimal

Choose the answer which best expresses the following decimal as a percentage, rounded to the nearest tenth of a percent if necessary:

0.22 $\displaystyle 0.22$

Possible Answers:

$222\%$ $\displaystyle 222\%$

$22.2\%$ $\displaystyle 22.2\%$

$2.2\%$ $\displaystyle 2.2\%$

$2.22\%$ $\displaystyle 2.22\%$

$22\%$ $\displaystyle 22\%$

Correct answer:

$22\%$ $\displaystyle 22\%$

Explanation:

To express a decimal as a percent, multiply the decimal by one hundred:

$0.22 \cdot 100 = 22$ $\displaystyle 0.22 \cdot 100 = 22$

Then add your percent sign after:

$22\%$ $\displaystyle 22\%$

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Example Question #2 : Decimals And Percentage

Choose the answer which best expresses the following decimal as a percentage, rounded to the nearest tenth of a percent if necessary:

1.223 $\displaystyle 1.223$

Possible Answers:

$1.223\%$ $\displaystyle 1.223\%$

$122.3\%$ $\displaystyle 122.3\%$

$12.23\%$ $\displaystyle 12.23\%$

$122\%$ $\displaystyle 122\%$

$10\%$ $\displaystyle 10\%$

Correct answer:

$122.3\%$ $\displaystyle 122.3\%$

Explanation:

To express a decimal as a percent, multiply the decimal by one hundred:

$1.223 \cdot 100$ $\displaystyle 1.223 \cdot 100$

Then add your percent sign:

$122.3\%$ $\displaystyle 122.3\%$

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Example Question #3 : How To Find Percentage Equivalent To A Decimal

Choose the answer which best expresses the following decimal as a percentage, rounded to the nearest tenth of a percent if necessary:

0.333 $\displaystyle 0.333$

Possible Answers:

$3.33\%$ $\displaystyle 3.33\%$

$3\%$ $\displaystyle 3\%$

$3.3\%$ $\displaystyle 3.3\%$

$333\%$ $\displaystyle 333\%$

$33.3\%$ $\displaystyle 33.3\%$

Correct answer:

$33.3\%$ $\displaystyle 33.3\%$

Explanation:

To express a decimal as a percent, multiply the decimal by one hundred:

$0.333 \cdot 100 = 33.3$ $\displaystyle 0.333 \cdot 100 = 33.3$

Then, add your percent sign after:

$33.3\%$ $\displaystyle 33.3\%$

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Example Question #4 : How To Find Percentage Equivalent To A Decimal

Choose the answer which best expresses the following decimal as a percentage, rounded to the nearest tenth of a percent if necessary:

0.625 $\displaystyle 0.625$

Possible Answers:

$625\%$ $\displaystyle 625\%$

$6.52\%$ $\displaystyle 6.52\%$

$0.625\%$ $\displaystyle 0.625\%$

$6.25\%$ $\displaystyle 6.25\%$

$62.5\%$ $\displaystyle 62.5\%$

Correct answer:

$62.5\%$ $\displaystyle 62.5\%$

Explanation:

To find the equivalent percentage we need to multiply the decimal by 100.

$0.625 \cdot 100 = 62.5$ $\displaystyle 0.625 \cdot 100 = 62.5$

Then, add your percent sign:

$62.5\%$ $\displaystyle 62.5\%$

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GRE Math : How to find percentage equivalent to a decimal

Study concepts, example questions & explanations for GRE Math

All GRE Math Resources

Example Questions

Example Question #4 : Decimals And Percentage

Example Question #1 : How To Find Percentage Equivalent To A Decimal

Example Question #2 : Decimals And Percentage

Example Question #3 : How To Find Percentage Equivalent To A Decimal

Example Question #4 : How To Find Percentage Equivalent To A Decimal

All GRE Math Resources

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