5911.77 is what percent of 42013.23 - 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 42013.23 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 42013.23, so we can write it down as 100%=42013.23.
4. We know, that x% equals 5911.77 of the output value, so we can write it down as x%=5911.77.
5. Now we have two simple equations:
1) 100%=42013.23
2) x%=5911.77
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%=42013.23/5911.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5911.77 is what percent of 42013.23

100%/x%=42013.23/5911.77
(100/x)*x=(42013.23/5911.77)*x       - we multiply both sides of the equation by x
100=7.1067091581709*x       - we divide both sides of the equation by (7.1067091581709) to get x
100/7.1067091581709=x
14.071210425859=x
x=14.071210425859

now we have:
5911.77 is 14.071210425859% of 42013.23