8 is what percent of 458.21 - 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 458.21 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 458.21, so we can write it down as 100%=458.21.
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%=458.21
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%=458.21/8
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 458.21

100%/x%=458.21/8
(100/x)*x=(458.21/8)*x       - we multiply both sides of the equation by x
100=57.27625*x       - we divide both sides of the equation by (57.27625) to get x
100/57.27625=x
1.7459243578272=x
x=1.7459243578272

now we have:
8 is 1.7459243578272% of 458.21