224.9 is what percent of 1125.9 - 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 1125.9 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 1125.9, so we can write it down as 100%=1125.9.
4. We know, that x% equals 224.9 of the output value, so we can write it down as x%=224.9.
5. Now we have two simple equations:
1) 100%=1125.9
2) x%=224.9
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%=1125.9/224.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 224.9 is what percent of 1125.9

100%/x%=1125.9/224.9
(100/x)*x=(1125.9/224.9)*x       - we multiply both sides of the equation by x
100=5.0062249888839*x       - we divide both sides of the equation by (5.0062249888839) to get x
100/5.0062249888839=x
19.975131006306=x
x=19.975131006306

now we have:
224.9 is 19.975131006306% of 1125.9