10.55 is what percent of 133.91 - 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 133.91 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 133.91, so we can write it down as 100%=133.91.
4. We know, that x% equals 10.55 of the output value, so we can write it down as x%=10.55.
5. Now we have two simple equations:
1) 100%=133.91
2) x%=10.55
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%=133.91/10.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.55 is what percent of 133.91

100%/x%=133.91/10.55
(100/x)*x=(133.91/10.55)*x       - we multiply both sides of the equation by x
100=12.692890995261*x       - we divide both sides of the equation by (12.692890995261) to get x
100/12.692890995261=x
7.8784258083788=x
x=7.8784258083788

now we have:
10.55 is 7.8784258083788% of 133.91