24.17 is what percent of 2 - 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 2 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 2, so we can write it down as 100%=2.
4. We know, that x% equals 24.17 of the output value, so we can write it down as x%=24.17.
5. Now we have two simple equations:
1) 100%=2
2) x%=24.17
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%=2/24.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.17 is what percent of 2

100%/x%=2/24.17
(100/x)*x=(2/24.17)*x       - we multiply both sides of the equation by x
100=0.082747207281754*x       - we divide both sides of the equation by (0.082747207281754) to get x
100/0.082747207281754=x
1208.5=x
x=1208.5

now we have:
24.17 is 1208.5% of 2