32.37 is what percent of 42.19 - 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 42.19 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 42.19, so we can write it down as 100%=42.19.
4. We know, that x% equals 32.37 of the output value, so we can write it down as x%=32.37.
5. Now we have two simple equations:
1) 100%=42.19
2) x%=32.37
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%=42.19/32.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.37 is what percent of 42.19

100%/x%=42.19/32.37
(100/x)*x=(42.19/32.37)*x       - we multiply both sides of the equation by x
100=1.3033673154155*x       - we divide both sides of the equation by (1.3033673154155) to get x
100/1.3033673154155=x
76.724342261199=x
x=76.724342261199

now we have:
32.37 is 76.724342261199% of 42.19