What is 1165 percent of 2.75 - 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 2.75 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 2.75 is 100%, so we can write it down as 2.75=100%.
4. We know, that x is 1165% of the output value, so we can write it down as x=1165%.
5. Now we have two simple equations:
1) 2.75=100%
2) x=1165%
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:
2.75/x=100%/1165%
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 1165% of 2.75

2.75/x=100/1165
(2.75/x)*x=(100/1165)*x       - we multiply both sides of the equation by x
2.75=0.085836909871245*x       - we divide both sides of the equation by (0.085836909871245) to get x
2.75/0.085836909871245=x
32.0375=x
x=32.0375

now we have:
1165% of 2.75=32.0375