22.4 is what percent of 59.29 - 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 59.29 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 59.29, so we can write it down as 100%=59.29.
4. We know, that x% equals 22.4 of the output value, so we can write it down as x%=22.4.
5. Now we have two simple equations:
1) 100%=59.29
2) x%=22.4
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%=59.29/22.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.4 is what percent of 59.29

100%/x%=59.29/22.4
(100/x)*x=(59.29/22.4)*x       - we multiply both sides of the equation by x
100=2.646875*x       - we divide both sides of the equation by (2.646875) to get x
100/2.646875=x
37.780401416765=x
x=37.780401416765

now we have:
22.4 is 37.780401416765% of 59.29