224.24 is what percent of 1724.9 - 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 1724.9 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 1724.9, so we can write it down as 100%=1724.9.
4. We know, that x% equals 224.24 of the output value, so we can write it down as x%=224.24.
5. Now we have two simple equations:
1) 100%=1724.9
2) x%=224.24
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%=1724.9/224.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 224.24 is what percent of 1724.9

100%/x%=1724.9/224.24
(100/x)*x=(1724.9/224.24)*x       - we multiply both sides of the equation by x
100=7.6922047805922*x       - we divide both sides of the equation by (7.6922047805922) to get x
100/7.6922047805922=x
13.000173923126=x
x=13.000173923126

now we have:
224.24 is 13.000173923126% of 1724.9