11.35 is what percent of 141.82 - 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 141.82 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 141.82, so we can write it down as 100%=141.82.
4. We know, that x% equals 11.35 of the output value, so we can write it down as x%=11.35.
5. Now we have two simple equations:
1) 100%=141.82
2) x%=11.35
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%=141.82/11.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.35 is what percent of 141.82

100%/x%=141.82/11.35
(100/x)*x=(141.82/11.35)*x       - we multiply both sides of the equation by x
100=12.495154185022*x       - we divide both sides of the equation by (12.495154185022) to get x
100/12.495154185022=x
8.0031025243266=x
x=8.0031025243266

now we have:
11.35 is 8.0031025243266% of 141.82