107.24 is what percent of 3020 - 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 3020 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 3020, so we can write it down as 100%=3020.
4. We know, that x% equals 107.24 of the output value, so we can write it down as x%=107.24.
5. Now we have two simple equations:
1) 100%=3020
2) x%=107.24
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%=3020/107.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.24 is what percent of 3020

100%/x%=3020/107.24
(100/x)*x=(3020/107.24)*x       - we multiply both sides of the equation by x
100=28.161133905259*x       - we divide both sides of the equation by (28.161133905259) to get x
100/28.161133905259=x
3.5509933774834=x
x=3.5509933774834

now we have:
107.24 is 3.5509933774834% of 3020