567.6 is what percent of 570 - 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 570 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 570, so we can write it down as 100%=570.
4. We know, that x% equals 567.6 of the output value, so we can write it down as x%=567.6.
5. Now we have two simple equations:
1) 100%=570
2) x%=567.6
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%=570/567.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 567.6 is what percent of 570

100%/x%=570/567.6
(100/x)*x=(570/567.6)*x       - we multiply both sides of the equation by x
100=1.0042283298097*x       - we divide both sides of the equation by (1.0042283298097) to get x
100/1.0042283298097=x
99.578947368421=x
x=99.578947368421

now we have:
567.6 is 99.578947368421% of 570