10 is what percent of 99.92 - 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 99.92 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 99.92, so we can write it down as 100%=99.92.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=99.92
2) x%=10
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%=99.92/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 99.92

100%/x%=99.92/10
(100/x)*x=(99.92/10)*x       - we multiply both sides of the equation by x
100=9.992*x       - we divide both sides of the equation by (9.992) to get x
100/9.992=x
10.008006405124=x
x=10.008006405124

now we have:
10 is 10.008006405124% of 99.92