14.72 is what percent of 41.88 - 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 41.88 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 41.88, so we can write it down as 100%=41.88.
4. We know, that x% equals 14.72 of the output value, so we can write it down as x%=14.72.
5. Now we have two simple equations:
1) 100%=41.88
2) x%=14.72
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%=41.88/14.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.72 is what percent of 41.88

100%/x%=41.88/14.72
(100/x)*x=(41.88/14.72)*x       - we multiply both sides of the equation by x
100=2.8451086956522*x       - we divide both sides of the equation by (2.8451086956522) to get x
100/2.8451086956522=x
35.148042024833=x
x=35.148042024833

now we have:
14.72 is 35.148042024833% of 41.88