40.25 is what percent of 166 - 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 166 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 166, so we can write it down as 100%=166.
4. We know, that x% equals 40.25 of the output value, so we can write it down as x%=40.25.
5. Now we have two simple equations:
1) 100%=166
2) x%=40.25
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%=166/40.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.25 is what percent of 166

100%/x%=166/40.25
(100/x)*x=(166/40.25)*x       - we multiply both sides of the equation by x
100=4.1242236024845*x       - we divide both sides of the equation by (4.1242236024845) to get x
100/4.1242236024845=x
24.246987951807=x
x=24.246987951807

now we have:
40.25 is 24.246987951807% of 166