110.75 is what percent of 2730 - 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 2730 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 2730, so we can write it down as 100%=2730.
4. We know, that x% equals 110.75 of the output value, so we can write it down as x%=110.75.
5. Now we have two simple equations:
1) 100%=2730
2) x%=110.75
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%=2730/110.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.75 is what percent of 2730

100%/x%=2730/110.75
(100/x)*x=(2730/110.75)*x       - we multiply both sides of the equation by x
100=24.650112866817*x       - we divide both sides of the equation by (24.650112866817) to get x
100/24.650112866817=x
4.0567765567766=x
x=4.0567765567766

now we have:
110.75 is 4.0567765567766% of 2730