11.09 is what percent of 126.77 - 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 126.77 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 126.77, so we can write it down as 100%=126.77.
4. We know, that x% equals 11.09 of the output value, so we can write it down as x%=11.09.
5. Now we have two simple equations:
1) 100%=126.77
2) x%=11.09
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%=126.77/11.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.09 is what percent of 126.77

100%/x%=126.77/11.09
(100/x)*x=(126.77/11.09)*x       - we multiply both sides of the equation by x
100=11.431018935978*x       - we divide both sides of the equation by (11.431018935978) to get x
100/11.431018935978=x
8.7481265283584=x
x=8.7481265283584

now we have:
11.09 is 8.7481265283584% of 126.77