40.92 is what percent of 266.12 - 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 266.12 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 266.12, so we can write it down as 100%=266.12.
4. We know, that x% equals 40.92 of the output value, so we can write it down as x%=40.92.
5. Now we have two simple equations:
1) 100%=266.12
2) x%=40.92
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%=266.12/40.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.92 is what percent of 266.12

100%/x%=266.12/40.92
(100/x)*x=(266.12/40.92)*x       - we multiply both sides of the equation by x
100=6.5034213098729*x       - we divide both sides of the equation by (6.5034213098729) to get x
100/6.5034213098729=x
15.376521869833=x
x=15.376521869833

now we have:
40.92 is 15.376521869833% of 266.12