99.15 is what percent of 39.15 - 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 39.15 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 39.15, so we can write it down as 100%=39.15.
4. We know, that x% equals 99.15 of the output value, so we can write it down as x%=99.15.
5. Now we have two simple equations:
1) 100%=39.15
2) x%=99.15
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%=39.15/99.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.15 is what percent of 39.15

100%/x%=39.15/99.15
(100/x)*x=(39.15/99.15)*x       - we multiply both sides of the equation by x
100=0.39485627836611*x       - we divide both sides of the equation by (0.39485627836611) to get x
100/0.39485627836611=x
253.25670498084=x
x=253.25670498084

now we have:
99.15 is 253.25670498084% of 39.15