9900.99 is what percent of 10000 - 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 10000 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 10000, so we can write it down as 100%=10000.
4. We know, that x% equals 9900.99 of the output value, so we can write it down as x%=9900.99.
5. Now we have two simple equations:
1) 100%=10000
2) x%=9900.99
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%=10000/9900.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9900.99 is what percent of 10000

100%/x%=10000/9900.99
(100/x)*x=(10000/9900.99)*x       - we multiply both sides of the equation by x
100=1.0100000101*x       - we divide both sides of the equation by (1.0100000101) to get x
100/1.0100000101=x
99.0099=x
x=99.0099

now we have:
9900.99 is 99.0099% of 10000