42139.32 is what percent of 398.649 - 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 398.649 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 398.649, so we can write it down as 100%=398.649.
4. We know, that x% equals 42139.32 of the output value, so we can write it down as x%=42139.32.
5. Now we have two simple equations:
1) 100%=398.649
2) x%=42139.32
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%=398.649/42139.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42139.32 is what percent of 398.649

100%/x%=398.649/42139.32
(100/x)*x=(398.649/42139.32)*x       - we multiply both sides of the equation by x
100=0.0094602618172291*x       - we divide both sides of the equation by (0.0094602618172291) to get x
100/0.0094602618172291=x
10570.531971735=x
x=10570.531971735

now we have:
42139.32 is 10570.531971735% of 398.649