5.59 is what percent of 370.57 - 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 370.57 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 370.57, so we can write it down as 100%=370.57.
4. We know, that x% equals 5.59 of the output value, so we can write it down as x%=5.59.
5. Now we have two simple equations:
1) 100%=370.57
2) x%=5.59
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%=370.57/5.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.59 is what percent of 370.57

100%/x%=370.57/5.59
(100/x)*x=(370.57/5.59)*x       - we multiply both sides of the equation by x
100=66.291592128801*x       - we divide both sides of the equation by (66.291592128801) to get x
100/66.291592128801=x
1.5084869255471=x
x=1.5084869255471

now we have:
5.59 is 1.5084869255471% of 370.57