SAT Math : How to find percentage equivalent to a decimal

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #2003 : Psat Mathematics

If 20% of x is equal to 160% of y, then y is what percent of x?

Possible Answers:

125

12.5

800

8

1.25

Correct answer:

12.5

Explanation:

We are told that 20% of x is equal to 160% of y. We need to write expressions for 20% of x and 160% of y and set them equal to one another.

In order to find an expression for 20% of x, we can write 20% as a decimal and multiply it by x. Since 20% = 0.20, we can write 20% of x as 0.2x.

Similarly, we can write 160% as 1.60y.

Now, we set these expressions equal to one another.

0.2x = 1.60y.

Since the question asks us to find y as a percentage of x, we need to solve for y in terms of x. Let's divide both sides of the equation by 1.60.

0.125x = y.

Therfore, y is equal to 0.125x, which is the same as 12.5% of x, since 12.5% expressed as a decimal is 0.125.

The answer is 12.5. 

Example Question #11 : Decimals And Percentage

Find the percentage equivalent of the decimal:

\(\displaystyle 0.453\)

Possible Answers:

\(\displaystyle 45.3\%\)

\(\displaystyle 453\%\)

\(\displaystyle 4.53\%\)

\(\displaystyle 0.453\%\)

Correct answer:

\(\displaystyle 45.3\%\)

Explanation:

In order to find the percentage equivalent of a decimal, the decimal has to be multiplied by 100. However, since it is multiplication by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the right, thus making the number larger. For this problem, that looks like this:

\(\displaystyle 0.453\rightarrow45.3\%\)

Example Question #2 : How To Find Percentage Equivalent To A Decimal

Find the percentage equivalent of the decimal:

\(\displaystyle 0.271\)

Possible Answers:

\(\displaystyle 271\%\)

\(\displaystyle 2.71\%\)

\(\displaystyle 27.1\%\)

\(\displaystyle 0.271\%\)

Correct answer:

\(\displaystyle 27.1\%\)

Explanation:

In order to find the percentage equivalent of a decimal, the decimal has to be multiplied by 100. However, since it is multiplication by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the right, thus making the number larger. For this problem, that looks like this:

\(\displaystyle 0.271\rightarrow27.1\%\)

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

Find the percentage equivalent of the decimal:

\(\displaystyle 0.18\)

Possible Answers:

\(\displaystyle 0.18\%\)

\(\displaystyle 1.8\%\)

\(\displaystyle 18\%\)

\(\displaystyle 180\%\)

Correct answer:

\(\displaystyle 18\%\)

Explanation:

In order to find the percentage equivalent of a decimal, the decimal has to be multiplied by 100. However, since it is multiplication by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the right, thus making the number larger. For this problem, that looks like this:

\(\displaystyle 0.18\rightarrow18\%\)

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

Find the percentage equivalent of the decimal:

\(\displaystyle 0.549\)

Possible Answers:

\(\displaystyle 0.549\%\)

\(\displaystyle 549\%\)

\(\displaystyle 5.49\%\)

\(\displaystyle 54.9\%\)

Correct answer:

\(\displaystyle 54.9\%\)

Explanation:

In order to find the percentage equivalent of a decimal, the decimal has to be multiplied by 100. However, since it is multiplication by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the right, thus making the number larger. For this problem, that looks like this:

\(\displaystyle 0.549\rightarrow54.9\%\)

Example Question #5 : How To Find Percentage Equivalent To A Decimal

Find the percentage equivalent of the decimal:

\(\displaystyle 0.026\)

Possible Answers:

\(\displaystyle 0.26\%\)

\(\displaystyle 0.0026\%\)

\(\displaystyle 2.6\%\)

\(\displaystyle 26\%\)

Correct answer:

\(\displaystyle 2.6\%\)

Explanation:

In order to find the percentage equivalent of a decimal, the decimal has to be multiplied by 100. However, since it is multiplication by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the right, thus making the number larger. For this problem, that looks like this:

\(\displaystyle 0.026\rightarrow2.6\%\)

Example Question #6 : How To Find Percentage Equivalent To A Decimal

Find the percentage equivalent of the decimal:

\(\displaystyle 0.003\)

Possible Answers:

\(\displaystyle 0.0003\%\)

\(\displaystyle 0.3\%\)

\(\displaystyle 3\%\)

\(\displaystyle 0.03\%\)

Correct answer:

\(\displaystyle 0.3\%\)

Explanation:

In order to find the percentage equivalent of a decimal, the decimal has to be multiplied by 100. However, since it is multiplication by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the right, thus making the number larger. For this problem, that looks like this:

\(\displaystyle 0.003\rightarrow0.3\%\)

Example Question #7 : How To Find Percentage Equivalent To A Decimal

Find the percentage equivalent of the decimal:

\(\displaystyle 1.26\)

Possible Answers:

\(\displaystyle 1260\%\)

\(\displaystyle 1.26\%\)

\(\displaystyle 126\%\)

\(\displaystyle 12.6\%\)

Correct answer:

\(\displaystyle 126\%\)

Explanation:

In order to find the percentage equivalent of a decimal, the decimal has to be multiplied by 100. However, since it is multiplication by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the right, thus making the number larger. For this problem, that looks like this:

\(\displaystyle 1.26\rightarrow126\%\)

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

Find the percentage equivalent of the decimal:

\(\displaystyle 0.174\)

Possible Answers:

\(\displaystyle 0.174\%\)

\(\displaystyle 1.74\%\)

\(\displaystyle 174\%\)

\(\displaystyle 17.4\%\)

Correct answer:

\(\displaystyle 17.4\%\)

Explanation:

In order to find the percentage equivalent of a decimal, the decimal has to be multiplied by 100. However, since it is multiplication by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the right, thus making the number larger. For this problem, that looks like this:

\(\displaystyle 0.174\rightarrow17.4\%\)

Example Question #2 : How To Find Percentage Equivalent To A Decimal

Find the percentage equivalent of the decimal:

\(\displaystyle 0.039\)

Possible Answers:

\(\displaystyle 0.0039\%\)

\(\displaystyle 0.039\%\)

\(\displaystyle 3.9\%\)

\(\displaystyle 39\%\)

Correct answer:

\(\displaystyle 3.9\%\)

Explanation:

In order to find the percentage equivalent of a decimal, the decimal has to be multiplied by 100. However, since it is multiplication by a power of 10, we can accomplish the same thing, by moving the decimal point 2 places to the right, thus making the number larger. For this problem, that looks like this:

\(\displaystyle 0.039\rightarrow3.9\%\)

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