What is 24.25 percent of 41.72 - 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 41.72 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 41.72 is 100%, so we can write it down as 41.72=100%.
4. We know, that x is 24.25% of the output value, so we can write it down as x=24.25%.
5. Now we have two simple equations:
1) 41.72=100%
2) x=24.25%
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:
41.72/x=100%/24.25%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 24.25% of 41.72

41.72/x=100/24.25
(41.72/x)*x=(100/24.25)*x       - we multiply both sides of the equation by x
41.72=4.1237113402062*x       - we divide both sides of the equation by (4.1237113402062) to get x
41.72/4.1237113402062=x
10.1171=x
x=10.1171

now we have:
24.25% of 41.72=10.1171