565.2 is what percent of 6280 - 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 6280 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 6280, so we can write it down as 100%=6280.
4. We know, that x% equals 565.2 of the output value, so we can write it down as x%=565.2.
5. Now we have two simple equations:
1) 100%=6280
2) x%=565.2
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%=6280/565.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 565.2 is what percent of 6280

100%/x%=6280/565.2
(100/x)*x=(6280/565.2)*x       - we multiply both sides of the equation by x
100=11.111111111111*x       - we divide both sides of the equation by (11.111111111111) to get x
100/11.111111111111=x
9=x
x=9

now we have:
565.2 is 9% of 6280