30.82 is what percent of 141.24 - 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 141.24 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 141.24, so we can write it down as 100%=141.24.
4. We know, that x% equals 30.82 of the output value, so we can write it down as x%=30.82.
5. Now we have two simple equations:
1) 100%=141.24
2) x%=30.82
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%=141.24/30.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.82 is what percent of 141.24

100%/x%=141.24/30.82
(100/x)*x=(141.24/30.82)*x       - we multiply both sides of the equation by x
100=4.5827384815055*x       - we divide both sides of the equation by (4.5827384815055) to get x
100/4.5827384815055=x
21.821013877089=x
x=21.821013877089

now we have:
30.82 is 21.821013877089% of 141.24