9989.4 is what percent of 98733.92 - 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 98733.92 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 98733.92, so we can write it down as 100%=98733.92.
4. We know, that x% equals 9989.4 of the output value, so we can write it down as x%=9989.4.
5. Now we have two simple equations:
1) 100%=98733.92
2) x%=9989.4
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%=98733.92/9989.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9989.4 is what percent of 98733.92

100%/x%=98733.92/9989.4
(100/x)*x=(98733.92/9989.4)*x       - we multiply both sides of the equation by x
100=9.8838689010351*x       - we divide both sides of the equation by (9.8838689010351) to get x
100/9.8838689010351=x
10.117495588142=x
x=10.117495588142

now we have:
9989.4 is 10.117495588142% of 98733.92