98 is what percent of 11510 - 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 11510 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 11510, so we can write it down as 100%=11510.
4. We know, that x% equals 98 of the output value, so we can write it down as x%=98.
5. Now we have two simple equations:
1) 100%=11510
2) x%=98
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%=11510/98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98 is what percent of 11510

100%/x%=11510/98
(100/x)*x=(11510/98)*x       - we multiply both sides of the equation by x
100=117.44897959184*x       - we divide both sides of the equation by (117.44897959184) to get x
100/117.44897959184=x
0.8514335360556=x
x=0.8514335360556

now we have:
98 is 0.8514335360556% of 11510