63.3 is what percent of 562.9 - 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 562.9 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 562.9, so we can write it down as 100%=562.9.
4. We know, that x% equals 63.3 of the output value, so we can write it down as x%=63.3.
5. Now we have two simple equations:
1) 100%=562.9
2) x%=63.3
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%=562.9/63.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.3 is what percent of 562.9

100%/x%=562.9/63.3
(100/x)*x=(562.9/63.3)*x       - we multiply both sides of the equation by x
100=8.8925750394945*x       - we divide both sides of the equation by (8.8925750394945) to get x
100/8.8925750394945=x
11.245336649494=x
x=11.245336649494

now we have:
63.3 is 11.245336649494% of 562.9