999.98 is what percent of 8997 - 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 8997 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 8997, so we can write it down as 100%=8997.
4. We know, that x% equals 999.98 of the output value, so we can write it down as x%=999.98.
5. Now we have two simple equations:
1) 100%=8997
2) x%=999.98
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%=8997/999.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 999.98 is what percent of 8997

100%/x%=8997/999.98
(100/x)*x=(8997/999.98)*x       - we multiply both sides of the equation by x
100=8.9971799435989*x       - we divide both sides of the equation by (8.9971799435989) to get x
100/8.9971799435989=x
11.114593753473=x
x=11.114593753473

now we have:
999.98 is 11.114593753473% of 8997