9.8 is what percent of 1021.125 - 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 1021.125 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 1021.125, so we can write it down as 100%=1021.125.
4. We know, that x% equals 9.8 of the output value, so we can write it down as x%=9.8.
5. Now we have two simple equations:
1) 100%=1021.125
2) x%=9.8
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%=1021.125/9.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.8 is what percent of 1021.125

100%/x%=1021.125/9.8
(100/x)*x=(1021.125/9.8)*x       - we multiply both sides of the equation by x
100=104.19642857143*x       - we divide both sides of the equation by (104.19642857143) to get x
100/104.19642857143=x
0.95972579263068=x
x=0.95972579263068

now we have:
9.8 is 0.95972579263068% of 1021.125