What percent of 6 is 7.5

(1) 125%

Explanation

We will look for the key word is, of, and what percent in the percent sentence and translate them to mathematical symbols to form a percent equation.  Then we can solve the equation to find the unknown percent.

First, we translate

What percent of 6 is 7.5

x • 6 = 7.5

This is the equation to solve

x • 6 = 7.5

To undo the multiplication by 6 and isolate x on the left side of the equation, divide both sides by 6.

$\frac{x \cdot 6}{\color{red}{6}} = \frac{7.5}{\color{red}{6}}$

To simplify the fraction on the left side of the equation, remove the common factor of 6 from the numerator and denominator.  On the right side, divide 7.5 by 6.

$\require{cancel} \frac{x \cdot \cancel{6}^1}{\cancel{6}_1} = 1.25$

x = 1.25

To write the decimal 1.25 as a percent, multiply it by 100 by moving the decimal point two places to the right, and then insert a % symbol.

x = 125%

Thus, 7.5 is 125% of 6.