0.59 is what percent of 15.22 - 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 15.22 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 15.22, so we can write it down as 100%=15.22.
4. We know, that x% equals 0.59 of the output value, so we can write it down as x%=0.59.
5. Now we have two simple equations:
1) 100%=15.22
2) x%=0.59
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%=15.22/0.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.59 is what percent of 15.22

100%/x%=15.22/0.59
(100/x)*x=(15.22/0.59)*x       - we multiply both sides of the equation by x
100=25.796610169492*x       - we divide both sides of the equation by (25.796610169492) to get x
100/25.796610169492=x
3.8764783180026=x
x=3.8764783180026

now we have:
0.59 is 3.8764783180026% of 15.22