526.55 is what percent of 560 - 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 560 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 560, so we can write it down as 100%=560.
4. We know, that x% equals 526.55 of the output value, so we can write it down as x%=526.55.
5. Now we have two simple equations:
1) 100%=560
2) x%=526.55
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%=560/526.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 526.55 is what percent of 560

100%/x%=560/526.55
(100/x)*x=(560/526.55)*x       - we multiply both sides of the equation by x
100=1.0635267306049*x       - we divide both sides of the equation by (1.0635267306049) to get x
100/1.0635267306049=x
94.026785714286=x
x=94.026785714286

now we have:
526.55 is 94.026785714286% of 560