8 is what percent of 9940 - 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 9940 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 9940, so we can write it down as 100%=9940.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=9940
2) x%=8
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%=9940/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 9940

100%/x%=9940/8
(100/x)*x=(9940/8)*x       - we multiply both sides of the equation by x
100=1242.5*x       - we divide both sides of the equation by (1242.5) to get x
100/1242.5=x
0.080482897384306=x
x=0.080482897384306

now we have:
8 is 0.080482897384306% of 9940