42407.03 is what percent of 48808.02 - 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 48808.02 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 48808.02, so we can write it down as 100%=48808.02.
4. We know, that x% equals 42407.03 of the output value, so we can write it down as x%=42407.03.
5. Now we have two simple equations:
1) 100%=48808.02
2) x%=42407.03
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%=48808.02/42407.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42407.03 is what percent of 48808.02

100%/x%=48808.02/42407.03
(100/x)*x=(48808.02/42407.03)*x       - we multiply both sides of the equation by x
100=1.1509417188612*x       - we divide both sides of the equation by (1.1509417188612) to get x
100/1.1509417188612=x
86.885372526892=x
x=86.885372526892

now we have:
42407.03 is 86.885372526892% of 48808.02