98 is what percent of 1527 - 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 1527 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 1527, so we can write it down as 100%=1527.
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%=1527
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%=1527/98
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 1527

100%/x%=1527/98
(100/x)*x=(1527/98)*x       - we multiply both sides of the equation by x
100=15.581632653061*x       - we divide both sides of the equation by (15.581632653061) to get x
100/15.581632653061=x
6.4178127046496=x
x=6.4178127046496

now we have:
98 is 6.4178127046496% of 1527