285.97 is what percent of 1224.47 - 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 1224.47 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 1224.47, so we can write it down as 100%=1224.47.
4. We know, that x% equals 285.97 of the output value, so we can write it down as x%=285.97.
5. Now we have two simple equations:
1) 100%=1224.47
2) x%=285.97
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%=1224.47/285.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 285.97 is what percent of 1224.47

100%/x%=1224.47/285.97
(100/x)*x=(1224.47/285.97)*x       - we multiply both sides of the equation by x
100=4.2818127775641*x       - we divide both sides of the equation by (4.2818127775641) to get x
100/4.2818127775641=x
23.354594232607=x
x=23.354594232607

now we have:
285.97 is 23.354594232607% of 1224.47