98 is what percent of 7731 - 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 7731 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 7731, so we can write it down as 100%=7731.
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%=7731
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%=7731/98
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 7731

100%/x%=7731/98
(100/x)*x=(7731/98)*x       - we multiply both sides of the equation by x
100=78.887755102041*x       - we divide both sides of the equation by (78.887755102041) to get x
100/78.887755102041=x
1.2676238520243=x
x=1.2676238520243

now we have:
98 is 1.2676238520243% of 7731