99 is what percent of 2559 - 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 2559 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 2559, so we can write it down as 100%=2559.
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%=2559
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%=2559/99
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 2559

100%/x%=2559/99
(100/x)*x=(2559/99)*x       - we multiply both sides of the equation by x
100=25.848484848485*x       - we divide both sides of the equation by (25.848484848485) to get x
100/25.848484848485=x
3.8686987104338=x
x=3.8686987104338

now we have:
99 is 3.8686987104338% of 2559