81.45 is what percent of 525.5 - 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 525.5 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 525.5, so we can write it down as 100%=525.5.
4. We know, that x% equals 81.45 of the output value, so we can write it down as x%=81.45.
5. Now we have two simple equations:
1) 100%=525.5
2) x%=81.45
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%=525.5/81.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 81.45 is what percent of 525.5

100%/x%=525.5/81.45
(100/x)*x=(525.5/81.45)*x       - we multiply both sides of the equation by x
100=6.451810926949*x       - we divide both sides of the equation by (6.451810926949) to get x
100/6.451810926949=x
15.499524262607=x
x=15.499524262607

now we have:
81.45 is 15.499524262607% of 525.5