225.85 is what percent of 1124.71 - 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 1124.71 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 1124.71, so we can write it down as 100%=1124.71.
4. We know, that x% equals 225.85 of the output value, so we can write it down as x%=225.85.
5. Now we have two simple equations:
1) 100%=1124.71
2) x%=225.85
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%=1124.71/225.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 225.85 is what percent of 1124.71

100%/x%=1124.71/225.85
(100/x)*x=(1124.71/225.85)*x       - we multiply both sides of the equation by x
100=4.9798981624972*x       - we divide both sides of the equation by (4.9798981624972) to get x
100/4.9798981624972=x
20.080731922007=x
x=20.080731922007

now we have:
225.85 is 20.080731922007% of 1124.71