98.85 is what percent of 749.6 - 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 749.6 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 749.6, so we can write it down as 100%=749.6.
4. We know, that x% equals 98.85 of the output value, so we can write it down as x%=98.85.
5. Now we have two simple equations:
1) 100%=749.6
2) x%=98.85
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%=749.6/98.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.85 is what percent of 749.6

100%/x%=749.6/98.85
(100/x)*x=(749.6/98.85)*x       - we multiply both sides of the equation by x
100=7.5832068791098*x       - we divide both sides of the equation by (7.5832068791098) to get x
100/7.5832068791098=x
13.187033084312=x
x=13.187033084312

now we have:
98.85 is 13.187033084312% of 749.6