5 is what percent of 9900 - 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 9900 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 9900, so we can write it down as 100%=9900.
4. We know, that x% equals 5 of the output value, so we can write it down as x%=5.
5. Now we have two simple equations:
1) 100%=9900
2) x%=5
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%=9900/5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5 is what percent of 9900

100%/x%=9900/5
(100/x)*x=(9900/5)*x       - we multiply both sides of the equation by x
100=1980*x       - we divide both sides of the equation by (1980) to get x
100/1980=x
0.050505050505051=x
x=0.050505050505051

now we have:
5 is 0.050505050505051% of 9900