997.05 is what percent of 1113.35 - 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 1113.35 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 1113.35, so we can write it down as 100%=1113.35.
4. We know, that x% equals 997.05 of the output value, so we can write it down as x%=997.05.
5. Now we have two simple equations:
1) 100%=1113.35
2) x%=997.05
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%=1113.35/997.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 997.05 is what percent of 1113.35

100%/x%=1113.35/997.05
(100/x)*x=(1113.35/997.05)*x       - we multiply both sides of the equation by x
100=1.1166441000953*x       - we divide both sides of the equation by (1.1166441000953) to get x
100/1.1166441000953=x
89.554048592087=x
x=89.554048592087

now we have:
997.05 is 89.554048592087% of 1113.35