10.77 is what percent of 133 - 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 133 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 133, so we can write it down as 100%=133.
4. We know, that x% equals 10.77 of the output value, so we can write it down as x%=10.77.
5. Now we have two simple equations:
1) 100%=133
2) x%=10.77
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%=133/10.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.77 is what percent of 133

100%/x%=133/10.77
(100/x)*x=(133/10.77)*x       - we multiply both sides of the equation by x
100=12.349117920149*x       - we divide both sides of the equation by (12.349117920149) to get x
100/12.349117920149=x
8.0977443609023=x
x=8.0977443609023

now we have:
10.77 is 8.0977443609023% of 133