32 is what percent of 135.45 - 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 135.45 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 135.45, so we can write it down as 100%=135.45.
4. We know, that x% equals 32 of the output value, so we can write it down as x%=32.
5. Now we have two simple equations:
1) 100%=135.45
2) x%=32
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%=135.45/32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32 is what percent of 135.45

100%/x%=135.45/32
(100/x)*x=(135.45/32)*x       - we multiply both sides of the equation by x
100=4.2328125*x       - we divide both sides of the equation by (4.2328125) to get x
100/4.2328125=x
23.624953857512=x
x=23.624953857512

now we have:
32 is 23.624953857512% of 135.45