98 is what percent of 829 - 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 829 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 829, so we can write it down as 100%=829.
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%=829
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%=829/98
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 829

100%/x%=829/98
(100/x)*x=(829/98)*x       - we multiply both sides of the equation by x
100=8.4591836734694*x       - we divide both sides of the equation by (8.4591836734694) to get x
100/8.4591836734694=x
11.821471652593=x
x=11.821471652593

now we have:
98 is 11.821471652593% of 829