141.66 is what percent of 1090.27 - 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 1090.27 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 1090.27, so we can write it down as 100%=1090.27.
4. We know, that x% equals 141.66 of the output value, so we can write it down as x%=141.66.
5. Now we have two simple equations:
1) 100%=1090.27
2) x%=141.66
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%=1090.27/141.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 141.66 is what percent of 1090.27

100%/x%=1090.27/141.66
(100/x)*x=(1090.27/141.66)*x       - we multiply both sides of the equation by x
100=7.6963857122688*x       - we divide both sides of the equation by (7.6963857122688) to get x
100/7.6963857122688=x
12.993111797995=x
x=12.993111797995

now we have:
141.66 is 12.993111797995% of 1090.27