224.37 is what percent of 415.5 - 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 415.5 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 415.5, so we can write it down as 100%=415.5.
4. We know, that x% equals 224.37 of the output value, so we can write it down as x%=224.37.
5. Now we have two simple equations:
1) 100%=415.5
2) x%=224.37
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%=415.5/224.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 224.37 is what percent of 415.5

100%/x%=415.5/224.37
(100/x)*x=(415.5/224.37)*x       - we multiply both sides of the equation by x
100=1.8518518518519*x       - we divide both sides of the equation by (1.8518518518519) to get x
100/1.8518518518519=x
54=x
x=54

now we have:
224.37 is 54% of 415.5