137.52 is what percent of 4872.94 - 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 4872.94 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 4872.94, so we can write it down as 100%=4872.94.
4. We know, that x% equals 137.52 of the output value, so we can write it down as x%=137.52.
5. Now we have two simple equations:
1) 100%=4872.94
2) x%=137.52
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%=4872.94/137.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.52 is what percent of 4872.94

100%/x%=4872.94/137.52
(100/x)*x=(4872.94/137.52)*x       - we multiply both sides of the equation by x
100=35.43440954043*x       - we divide both sides of the equation by (35.43440954043) to get x
100/35.43440954043=x
2.8221156016696=x
x=2.8221156016696

now we have:
137.52 is 2.8221156016696% of 4872.94