9919.96 is what percent of 9917.12 - 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 9917.12 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 9917.12, so we can write it down as 100%=9917.12.
4. We know, that x% equals 9919.96 of the output value, so we can write it down as x%=9919.96.
5. Now we have two simple equations:
1) 100%=9917.12
2) x%=9919.96
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%=9917.12/9919.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9919.96 is what percent of 9917.12

100%/x%=9917.12/9919.96
(100/x)*x=(9917.12/9919.96)*x       - we multiply both sides of the equation by x
100=0.999713708523*x       - we divide both sides of the equation by (0.999713708523) to get x
100/0.999713708523=x
100.028637346=x
x=100.028637346

now we have:
9919.96 is 100.028637346% of 9917.12