562.78 is what percent of 615.39 - 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 615.39 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 615.39, so we can write it down as 100%=615.39.
4. We know, that x% equals 562.78 of the output value, so we can write it down as x%=562.78.
5. Now we have two simple equations:
1) 100%=615.39
2) x%=562.78
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%=615.39/562.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 562.78 is what percent of 615.39

100%/x%=615.39/562.78
(100/x)*x=(615.39/562.78)*x       - we multiply both sides of the equation by x
100=1.0934823554497*x       - we divide both sides of the equation by (1.0934823554497) to get x
100/1.0934823554497=x
91.450949804189=x
x=91.450949804189

now we have:
562.78 is 91.450949804189% of 615.39