32.01 is what percent of 96.85 - 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 96.85 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 96.85, so we can write it down as 100%=96.85.
4. We know, that x% equals 32.01 of the output value, so we can write it down as x%=32.01.
5. Now we have two simple equations:
1) 100%=96.85
2) x%=32.01
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%=96.85/32.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.01 is what percent of 96.85

100%/x%=96.85/32.01
(100/x)*x=(96.85/32.01)*x       - we multiply both sides of the equation by x
100=3.0256169946892*x       - we divide both sides of the equation by (3.0256169946892) to get x
100/3.0256169946892=x
33.051109963862=x
x=33.051109963862

now we have:
32.01 is 33.051109963862% of 96.85