997.92 is what percent of 1020 - 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 1020 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 1020, so we can write it down as 100%=1020.
4. We know, that x% equals 997.92 of the output value, so we can write it down as x%=997.92.
5. Now we have two simple equations:
1) 100%=1020
2) x%=997.92
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%=1020/997.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 997.92 is what percent of 1020

100%/x%=1020/997.92
(100/x)*x=(1020/997.92)*x       - we multiply both sides of the equation by x
100=1.022126022126*x       - we divide both sides of the equation by (1.022126022126) to get x
100/1.022126022126=x
97.835294117647=x
x=97.835294117647

now we have:
997.92 is 97.835294117647% of 1020