42870.05 is what percent of 48184.4 - 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 48184.4 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 48184.4, so we can write it down as 100%=48184.4.
4. We know, that x% equals 42870.05 of the output value, so we can write it down as x%=42870.05.
5. Now we have two simple equations:
1) 100%=48184.4
2) x%=42870.05
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%=48184.4/42870.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42870.05 is what percent of 48184.4

100%/x%=48184.4/42870.05
(100/x)*x=(48184.4/42870.05)*x       - we multiply both sides of the equation by x
100=1.1239641661253*x       - we divide both sides of the equation by (1.1239641661253) to get x
100/1.1239641661253=x
88.970807979346=x
x=88.970807979346

now we have:
42870.05 is 88.970807979346% of 48184.4