99.51 is what percent of 128.15 - 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 128.15 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 128.15, so we can write it down as 100%=128.15.
4. We know, that x% equals 99.51 of the output value, so we can write it down as x%=99.51.
5. Now we have two simple equations:
1) 100%=128.15
2) x%=99.51
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%=128.15/99.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.51 is what percent of 128.15

100%/x%=128.15/99.51
(100/x)*x=(128.15/99.51)*x       - we multiply both sides of the equation by x
100=1.2878102703246*x       - we divide both sides of the equation by (1.2878102703246) to get x
100/1.2878102703246=x
77.651190011705=x
x=77.651190011705

now we have:
99.51 is 77.651190011705% of 128.15