993.92 is what percent of 1000.97 - 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 1000.97 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 1000.97, so we can write it down as 100%=1000.97.
4. We know, that x% equals 993.92 of the output value, so we can write it down as x%=993.92.
5. Now we have two simple equations:
1) 100%=1000.97
2) x%=993.92
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%=1000.97/993.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 993.92 is what percent of 1000.97

100%/x%=1000.97/993.92
(100/x)*x=(1000.97/993.92)*x       - we multiply both sides of the equation by x
100=1.0070931262073*x       - we divide both sides of the equation by (1.0070931262073) to get x
100/1.0070931262073=x
99.295683187308=x
x=99.295683187308

now we have:
993.92 is 99.295683187308% of 1000.97