77.5 is what percent of 126 - 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 126 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 126, so we can write it down as 100%=126.
4. We know, that x% equals 77.5 of the output value, so we can write it down as x%=77.5.
5. Now we have two simple equations:
1) 100%=126
2) x%=77.5
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%=126/77.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.5 is what percent of 126

100%/x%=126/77.5
(100/x)*x=(126/77.5)*x       - we multiply both sides of the equation by x
100=1.6258064516129*x       - we divide both sides of the equation by (1.6258064516129) to get x
100/1.6258064516129=x
61.507936507937=x
x=61.507936507937

now we have:
77.5 is 61.507936507937% of 126