32.64 is what percent of 101.04 - 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 101.04 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 101.04, so we can write it down as 100%=101.04.
4. We know, that x% equals 32.64 of the output value, so we can write it down as x%=32.64.
5. Now we have two simple equations:
1) 100%=101.04
2) x%=32.64
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%=101.04/32.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.64 is what percent of 101.04

100%/x%=101.04/32.64
(100/x)*x=(101.04/32.64)*x       - we multiply both sides of the equation by x
100=3.0955882352941*x       - we divide both sides of the equation by (3.0955882352941) to get x
100/3.0955882352941=x
32.304038004751=x
x=32.304038004751

now we have:
32.64 is 32.304038004751% of 101.04