8 is what percent of 17725 - 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 17725 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 17725, so we can write it down as 100%=17725.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=17725
2) x%=8
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%=17725/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 17725

100%/x%=17725/8
(100/x)*x=(17725/8)*x       - we multiply both sides of the equation by x
100=2215.625*x       - we divide both sides of the equation by (2215.625) to get x
100/2215.625=x
0.045133991537377=x
x=0.045133991537377

now we have:
8 is 0.045133991537377% of 17725