1022.83 is what percent of 9984 - 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 9984 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 9984, so we can write it down as 100%=9984.
4. We know, that x% equals 1022.83 of the output value, so we can write it down as x%=1022.83.
5. Now we have two simple equations:
1) 100%=9984
2) x%=1022.83
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%=9984/1022.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1022.83 is what percent of 9984

100%/x%=9984/1022.83
(100/x)*x=(9984/1022.83)*x       - we multiply both sides of the equation by x
100=9.7611528797552*x       - we divide both sides of the equation by (9.7611528797552) to get x
100/9.7611528797552=x
10.24469150641=x
x=10.24469150641

now we have:
1022.83 is 10.24469150641% of 9984