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If
8% of a number equals 6 , find
32% of that number.
Answer:

If $8 \%$ of a number equals $6$ , find $32 \%$ of that number. $\newline$ Answer:

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Find what percent one number is of another

Full solution

Q. If

8 \%

of a number equals

6

, find

32 \%

of that number.

\newline

Answer:

Understand relationship between percentage: Understand the relationship between the percentage and the number. $\newline$ $8\%$ of a number equals $6$ . This means that $0.08$ times the number equals $6$ . $\newline$ We can write this as an equation: $0.08 \times \text{number} = 6$
Solve equation to find number: Solve the equation to find the number. $\newline$ Divide both sides of the equation by $0.08$ to isolate the number. $\newline$ number = $\frac{6}{0.08}$ $\newline$ number = $75$
Calculate $32$ % of number: Calculate $32\%$ of the number. $\newline$ Now that we know the number is $75$ , we can find $32\%$ of it. $\newline$ $32\%$ is the same as $0.32$ in decimal form. $\newline$ $0.32 \times \text{number} = 0.32 \times 75$
Perform multiplication for final answer: Perform the multiplication to find the final answer. $0.32 \times 75 = 24$

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