59.2 is what percent of 762.22 - 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 762.22 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 762.22, so we can write it down as 100%=762.22.
4. We know, that x% equals 59.2 of the output value, so we can write it down as x%=59.2.
5. Now we have two simple equations:
1) 100%=762.22
2) x%=59.2
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%=762.22/59.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.2 is what percent of 762.22

100%/x%=762.22/59.2
(100/x)*x=(762.22/59.2)*x       - we multiply both sides of the equation by x
100=12.875337837838*x       - we divide both sides of the equation by (12.875337837838) to get x
100/12.875337837838=x
7.7667864920889=x
x=7.7667864920889

now we have:
59.2 is 7.7667864920889% of 762.22