22.5 is what percent of 6318.17 - 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 6318.17 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 6318.17, so we can write it down as 100%=6318.17.
4. We know, that x% equals 22.5 of the output value, so we can write it down as x%=22.5.
5. Now we have two simple equations:
1) 100%=6318.17
2) x%=22.5
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%=6318.17/22.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.5 is what percent of 6318.17

100%/x%=6318.17/22.5
(100/x)*x=(6318.17/22.5)*x       - we multiply both sides of the equation by x
100=280.80755555556*x       - we divide both sides of the equation by (280.80755555556) to get x
100/280.80755555556=x
0.35611577402951=x
x=0.35611577402951

now we have:
22.5 is 0.35611577402951% of 6318.17