13615.5 is what percent of 13690.75 - 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 13690.75 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 13690.75, so we can write it down as 100%=13690.75.
4. We know, that x% equals 13615.5 of the output value, so we can write it down as x%=13615.5.
5. Now we have two simple equations:
1) 100%=13690.75
2) x%=13615.5
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%=13690.75/13615.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13615.5 is what percent of 13690.75

100%/x%=13690.75/13615.5
(100/x)*x=(13690.75/13615.5)*x       - we multiply both sides of the equation by x
100=1.005526789321*x       - we divide both sides of the equation by (1.005526789321) to get x
100/1.005526789321=x
99.450358818911=x
x=99.450358818911

now we have:
13615.5 is 99.450358818911% of 13690.75