71.59 is what percent of 2458.37 - 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 2458.37 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 2458.37, so we can write it down as 100%=2458.37.
4. We know, that x% equals 71.59 of the output value, so we can write it down as x%=71.59.
5. Now we have two simple equations:
1) 100%=2458.37
2) x%=71.59
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%=2458.37/71.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.59 is what percent of 2458.37

100%/x%=2458.37/71.59
(100/x)*x=(2458.37/71.59)*x       - we multiply both sides of the equation by x
100=34.339572566001*x       - we divide both sides of the equation by (34.339572566001) to get x
100/34.339572566001=x
2.9120921586254=x
x=2.9120921586254

now we have:
71.59 is 2.9120921586254% of 2458.37