48.59 is what percent of 1759.26 - 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 1759.26 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 1759.26, so we can write it down as 100%=1759.26.
4. We know, that x% equals 48.59 of the output value, so we can write it down as x%=48.59.
5. Now we have two simple equations:
1) 100%=1759.26
2) x%=48.59
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%=1759.26/48.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.59 is what percent of 1759.26

100%/x%=1759.26/48.59
(100/x)*x=(1759.26/48.59)*x       - we multiply both sides of the equation by x
100=36.206215270632*x       - we divide both sides of the equation by (36.206215270632) to get x
100/36.206215270632=x
2.7619567318077=x
x=2.7619567318077

now we have:
48.59 is 2.7619567318077% of 1759.26