98.95 is what percent of 975.96 - 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 975.96 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 975.96, so we can write it down as 100%=975.96.
4. We know, that x% equals 98.95 of the output value, so we can write it down as x%=98.95.
5. Now we have two simple equations:
1) 100%=975.96
2) x%=98.95
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%=975.96/98.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.95 is what percent of 975.96

100%/x%=975.96/98.95
(100/x)*x=(975.96/98.95)*x       - we multiply both sides of the equation by x
100=9.8631632137443*x       - we divide both sides of the equation by (9.8631632137443) to get x
100/9.8631632137443=x
10.138735194065=x
x=10.138735194065

now we have:
98.95 is 10.138735194065% of 975.96