8 is what percent of 89.8 - 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 89.8 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 89.8, so we can write it down as 100%=89.8.
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%=89.8
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%=89.8/8
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 89.8

100%/x%=89.8/8
(100/x)*x=(89.8/8)*x       - we multiply both sides of the equation by x
100=11.225*x       - we divide both sides of the equation by (11.225) to get x
100/11.225=x
8.9086859688196=x
x=8.9086859688196

now we have:
8 is 8.9086859688196% of 89.8