37.08 is what percent of 82.4 - 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 82.4 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 82.4, so we can write it down as 100%=82.4.
4. We know, that x% equals 37.08 of the output value, so we can write it down as x%=37.08.
5. Now we have two simple equations:
1) 100%=82.4
2) x%=37.08
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%=82.4/37.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.08 is what percent of 82.4

100%/x%=82.4/37.08
(100/x)*x=(82.4/37.08)*x       - we multiply both sides of the equation by x
100=2.2222222222222*x       - we divide both sides of the equation by (2.2222222222222) to get x
100/2.2222222222222=x
45=x
x=45

now we have:
37.08 is 45% of 82.4