42131.83 is what percent of 48442.5 - 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 48442.5 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 48442.5, so we can write it down as 100%=48442.5.
4. We know, that x% equals 42131.83 of the output value, so we can write it down as x%=42131.83.
5. Now we have two simple equations:
1) 100%=48442.5
2) x%=42131.83
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%=48442.5/42131.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42131.83 is what percent of 48442.5

100%/x%=48442.5/42131.83
(100/x)*x=(48442.5/42131.83)*x       - we multiply both sides of the equation by x
100=1.1497839044732*x       - we divide both sides of the equation by (1.1497839044732) to get x
100/1.1497839044732=x
86.972864736543=x
x=86.972864736543

now we have:
42131.83 is 86.972864736543% of 48442.5