8 is what percent of 34.98 - 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 34.98 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 34.98, so we can write it down as 100%=34.98.
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%=34.98
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%=34.98/8
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 34.98

100%/x%=34.98/8
(100/x)*x=(34.98/8)*x       - we multiply both sides of the equation by x
100=4.3725*x       - we divide both sides of the equation by (4.3725) to get x
100/4.3725=x
22.870211549457=x
x=22.870211549457

now we have:
8 is 22.870211549457% of 34.98