506.66 is what percent of 562.95 - 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 562.95 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 562.95, so we can write it down as 100%=562.95.
4. We know, that x% equals 506.66 of the output value, so we can write it down as x%=506.66.
5. Now we have two simple equations:
1) 100%=562.95
2) x%=506.66
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%=562.95/506.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 506.66 is what percent of 562.95

100%/x%=562.95/506.66
(100/x)*x=(562.95/506.66)*x       - we multiply both sides of the equation by x
100=1.1111001460546*x       - we divide both sides of the equation by (1.1111001460546) to get x
100/1.1111001460546=x
90.000888178346=x
x=90.000888178346

now we have:
506.66 is 90.000888178346% of 562.95