32.08 is what percent of 66.88 - 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 66.88 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 66.88, so we can write it down as 100%=66.88.
4. We know, that x% equals 32.08 of the output value, so we can write it down as x%=32.08.
5. Now we have two simple equations:
1) 100%=66.88
2) x%=32.08
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%=66.88/32.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.08 is what percent of 66.88

100%/x%=66.88/32.08
(100/x)*x=(66.88/32.08)*x       - we multiply both sides of the equation by x
100=2.0847880299252*x       - we divide both sides of the equation by (2.0847880299252) to get x
100/2.0847880299252=x
47.966507177033=x
x=47.966507177033

now we have:
32.08 is 47.966507177033% of 66.88