34.47 is what percent of 98.5 - 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 98.5 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 98.5, so we can write it down as 100%=98.5.
4. We know, that x% equals 34.47 of the output value, so we can write it down as x%=34.47.
5. Now we have two simple equations:
1) 100%=98.5
2) x%=34.47
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%=98.5/34.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.47 is what percent of 98.5

100%/x%=98.5/34.47
(100/x)*x=(98.5/34.47)*x       - we multiply both sides of the equation by x
100=2.8575572961996*x       - we divide both sides of the equation by (2.8575572961996) to get x
100/2.8575572961996=x
34.994923857868=x
x=34.994923857868

now we have:
34.47 is 34.994923857868% of 98.5