1106.36 is what percent of 1338 - 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 1338 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 1338, so we can write it down as 100%=1338.
4. We know, that x% equals 1106.36 of the output value, so we can write it down as x%=1106.36.
5. Now we have two simple equations:
1) 100%=1338
2) x%=1106.36
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%=1338/1106.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1106.36 is what percent of 1338

100%/x%=1338/1106.36
(100/x)*x=(1338/1106.36)*x       - we multiply both sides of the equation by x
100=1.2093712715572*x       - we divide both sides of the equation by (1.2093712715572) to get x
100/1.2093712715572=x
82.687593423019=x
x=82.687593423019

now we have:
1106.36 is 82.687593423019% of 1338