6825.22 is what percent of 11736 - 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 11736 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 11736, so we can write it down as 100%=11736.
4. We know, that x% equals 6825.22 of the output value, so we can write it down as x%=6825.22.
5. Now we have two simple equations:
1) 100%=11736
2) x%=6825.22
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%=11736/6825.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6825.22 is what percent of 11736

100%/x%=11736/6825.22
(100/x)*x=(11736/6825.22)*x       - we multiply both sides of the equation by x
100=1.7195050122926*x       - we divide both sides of the equation by (1.7195050122926) to get x
100/1.7195050122926=x
58.156271301977=x
x=58.156271301977

now we have:
6825.22 is 58.156271301977% of 11736