37.72 is what percent of 2514.36 - 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 2514.36 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 2514.36, so we can write it down as 100%=2514.36.
4. We know, that x% equals 37.72 of the output value, so we can write it down as x%=37.72.
5. Now we have two simple equations:
1) 100%=2514.36
2) x%=37.72
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%=2514.36/37.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.72 is what percent of 2514.36

100%/x%=2514.36/37.72
(100/x)*x=(2514.36/37.72)*x       - we multiply both sides of the equation by x
100=66.658536585366*x       - we divide both sides of the equation by (66.658536585366) to get x
100/66.658536585366=x
1.5001829491401=x
x=1.5001829491401

now we have:
37.72 is 1.5001829491401% of 2514.36