We want to figure out which of the given equations represents this statement. Let's start by recalling that we can use the percent equation to solve problems that involve percent.
Percent Equation [0.3em]
part = percent * whole
In this case, we want to find the number of which 80 % is 64, which means that we want to find the whole. Let's write an equation representing this situation by using the percent equation. In the equation, let w represent the whole.
64 = 80 % * w
Next, we will write the percent as a decimal by ignoring the percent symbol and moving the decimal point two places to the left.
We found that 80 % is equal to 0.80 or 0.8.
64 = 80 % * w [0.3em] ↓ [0.3em]
64 = 0.8 * w
Notice that we got the equation that matches option F. This means that the correct option is F.
