99 is what percent of 2299 - 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 2299 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 2299, so we can write it down as 100%=2299.
4. We know, that x% equals 99 of the output value, so we can write it down as x%=99.
5. Now we have two simple equations:
1) 100%=2299
2) x%=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%=2299/99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99 is what percent of 2299

100%/x%=2299/99
(100/x)*x=(2299/99)*x       - we multiply both sides of the equation by x
100=23.222222222222*x       - we divide both sides of the equation by (23.222222222222) to get x
100/23.222222222222=x
4.3062200956938=x
x=4.3062200956938

now we have:
99 is 4.3062200956938% of 2299