997.85 is what percent of 1100 - 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 1100 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 1100, so we can write it down as 100%=1100.
4. We know, that x% equals 997.85 of the output value, so we can write it down as x%=997.85.
5. Now we have two simple equations:
1) 100%=1100
2) x%=997.85
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%=1100/997.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 997.85 is what percent of 1100

100%/x%=1100/997.85
(100/x)*x=(1100/997.85)*x       - we multiply both sides of the equation by x
100=1.1023700957058*x       - we divide both sides of the equation by (1.1023700957058) to get x
100/1.1023700957058=x
90.713636363636=x
x=90.713636363636

now we have:
997.85 is 90.713636363636% of 1100