16.25 is what percent of 41.75 - 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 41.75 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 41.75, so we can write it down as 100%=41.75.
4. We know, that x% equals 16.25 of the output value, so we can write it down as x%=16.25.
5. Now we have two simple equations:
1) 100%=41.75
2) x%=16.25
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:
100%/x%=41.75/16.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.25 is what percent of 41.75

100%/x%=41.75/16.25
(100/x)*x=(41.75/16.25)*x       - we multiply both sides of the equation by x
100=2.5692307692308*x       - we divide both sides of the equation by (2.5692307692308) to get x
100/2.5692307692308=x
38.922155688623=x
x=38.922155688623

now we have:
16.25 is 38.922155688623% of 41.75