77257.48 is what percent of 135500 - 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 135500 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 135500, so we can write it down as 100%=135500.
4. We know, that x% equals 77257.48 of the output value, so we can write it down as x%=77257.48.
5. Now we have two simple equations:
1) 100%=135500
2) x%=77257.48
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%=135500/77257.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77257.48 is what percent of 135500

100%/x%=135500/77257.48
(100/x)*x=(135500/77257.48)*x       - we multiply both sides of the equation by x
100=1.7538754823481*x       - we divide both sides of the equation by (1.7538754823481) to get x
100/1.7538754823481=x
57.016590405904=x
x=57.016590405904

now we have:
77257.48 is 57.016590405904% of 135500