15 is what percent of 526.116 - 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 526.116 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 526.116, so we can write it down as 100%=526.116.
4. We know, that x% equals 15 of the output value, so we can write it down as x%=15.
5. Now we have two simple equations:
1) 100%=526.116
2) x%=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%=526.116/15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15 is what percent of 526.116

100%/x%=526.116/15
(100/x)*x=(526.116/15)*x       - we multiply both sides of the equation by x
100=35.0744*x       - we divide both sides of the equation by (35.0744) to get x
100/35.0744=x
2.85108227083=x
x=2.85108227083

now we have:
15 is 2.85108227083% of 526.116