40202.26 is what percent of 48000 - 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 48000 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 48000, so we can write it down as 100%=48000.
4. We know, that x% equals 40202.26 of the output value, so we can write it down as x%=40202.26.
5. Now we have two simple equations:
1) 100%=48000
2) x%=40202.26
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%=48000/40202.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40202.26 is what percent of 48000

100%/x%=48000/40202.26
(100/x)*x=(48000/40202.26)*x       - we multiply both sides of the equation by x
100=1.1939627274686*x       - we divide both sides of the equation by (1.1939627274686) to get x
100/1.1939627274686=x
83.754708333333=x
x=83.754708333333

now we have:
40202.26 is 83.754708333333% of 48000