109.66 is what percent of 141 - 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 141 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 141, so we can write it down as 100%=141.
4. We know, that x% equals 109.66 of the output value, so we can write it down as x%=109.66.
5. Now we have two simple equations:
1) 100%=141
2) x%=109.66
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%=141/109.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 109.66 is what percent of 141

100%/x%=141/109.66
(100/x)*x=(141/109.66)*x       - we multiply both sides of the equation by x
100=1.285792449389*x       - we divide both sides of the equation by (1.285792449389) to get x
100/1.285792449389=x
77.77304964539=x
x=77.77304964539

now we have:
109.66 is 77.77304964539% of 141