552.7 is what percent of 685 - 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 685 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 685, so we can write it down as 100%=685.
4. We know, that x% equals 552.7 of the output value, so we can write it down as x%=552.7.
5. Now we have two simple equations:
1) 100%=685
2) x%=552.7
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%=685/552.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 552.7 is what percent of 685

100%/x%=685/552.7
(100/x)*x=(685/552.7)*x       - we multiply both sides of the equation by x
100=1.2393703636693*x       - we divide both sides of the equation by (1.2393703636693) to get x
100/1.2393703636693=x
80.686131386861=x
x=80.686131386861

now we have:
552.7 is 80.686131386861% of 685