24.74 is what percent of 113.86 - 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 113.86 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 113.86, so we can write it down as 100%=113.86.
4. We know, that x% equals 24.74 of the output value, so we can write it down as x%=24.74.
5. Now we have two simple equations:
1) 100%=113.86
2) x%=24.74
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%=113.86/24.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.74 is what percent of 113.86

100%/x%=113.86/24.74
(100/x)*x=(113.86/24.74)*x       - we multiply both sides of the equation by x
100=4.6022635408246*x       - we divide both sides of the equation by (4.6022635408246) to get x
100/4.6022635408246=x
21.728438433164=x
x=21.728438433164

now we have:
24.74 is 21.728438433164% of 113.86