11835.42 is what percent of 15840 - 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 15840 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 15840, so we can write it down as 100%=15840.
4. We know, that x% equals 11835.42 of the output value, so we can write it down as x%=11835.42.
5. Now we have two simple equations:
1) 100%=15840
2) x%=11835.42
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%=15840/11835.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11835.42 is what percent of 15840

100%/x%=15840/11835.42
(100/x)*x=(15840/11835.42)*x       - we multiply both sides of the equation by x
100=1.3383555463177*x       - we divide both sides of the equation by (1.3383555463177) to get x
100/1.3383555463177=x
74.718560606061=x
x=74.718560606061

now we have:
11835.42 is 74.718560606061% of 15840