51.6 is what percent of 566 - 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 566 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 566, so we can write it down as 100%=566.
4. We know, that x% equals 51.6 of the output value, so we can write it down as x%=51.6.
5. Now we have two simple equations:
1) 100%=566
2) x%=51.6
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%=566/51.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.6 is what percent of 566

100%/x%=566/51.6
(100/x)*x=(566/51.6)*x       - we multiply both sides of the equation by x
100=10.968992248062*x       - we divide both sides of the equation by (10.968992248062) to get x
100/10.968992248062=x
9.1166077738516=x
x=9.1166077738516

now we have:
51.6 is 9.1166077738516% of 566