28.02 is what percent of 32.052 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 32.052 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 32.052, so we can write it down as 100%=32.052.
4. We know, that x% equals 28.02 of the output value, so we can write it down as x%=28.02.
5. Now we have two simple equations:
1) 100%=32.052
2) x%=28.02
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=32.052/28.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.02 is what percent of 32.052

100%/x%=32.052/28.02
(100/x)*x=(32.052/28.02)*x       - we multiply both sides of the equation by x
100=1.1438972162741*x       - we divide both sides of the equation by (1.1438972162741) to get x
100/1.1438972162741=x
87.420441782104=x
x=87.420441782104

now we have:
28.02 is 87.420441782104% of 32.052