What is 1102 percent of 1162 - 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 1162 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 1162 is 100%, so we can write it down as 1162=100%.
4. We know, that x is 1102% of the output value, so we can write it down as x=1102%.
5. Now we have two simple equations:
1) 1162=100%
2) x=1102%
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:
1162/x=100%/1102%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1102% of 1162

1162/x=100/1102
(1162/x)*x=(100/1102)*x       - we multiply both sides of the equation by x
1162=0.090744101633394*x       - we divide both sides of the equation by (0.090744101633394) to get x
1162/0.090744101633394=x
12805.24=x
x=12805.24

now we have:
1102% of 1162=12805.24