224.99 is what percent of 292.49 - 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 292.49 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 292.49, so we can write it down as 100%=292.49.
4. We know, that x% equals 224.99 of the output value, so we can write it down as x%=224.99.
5. Now we have two simple equations:
1) 100%=292.49
2) x%=224.99
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%=292.49/224.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 224.99 is what percent of 292.49

100%/x%=292.49/224.99
(100/x)*x=(292.49/224.99)*x       - we multiply both sides of the equation by x
100=1.300013333926*x       - we divide both sides of the equation by (1.300013333926) to get x
100/1.300013333926=x
76.922287941468=x
x=76.922287941468

now we have:
224.99 is 76.922287941468% of 292.49