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 w represent the whole.
64 = 80 % * w
Before we can solve the equation that we got, we need to write the percent as a decimal. We can write a percent as a decimal by ignoring the percent symbol and moving the decimal point two places to the left.
We got that 80 % is equal to 0.80 or 0.8.
64 = 80 % * w [0.3em] ↓ [0.3em]
64 = 0.8 * w
Finally, let's solve the equation for w. To do so, we will use the Division Property of Equality.
