110.12 is what percent of 2643.88 - 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 2643.88 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 2643.88, so we can write it down as 100%=2643.88.
4. We know, that x% equals 110.12 of the output value, so we can write it down as x%=110.12.
5. Now we have two simple equations:
1) 100%=2643.88
2) x%=110.12
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%=2643.88/110.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.12 is what percent of 2643.88

100%/x%=2643.88/110.12
(100/x)*x=(2643.88/110.12)*x       - we multiply both sides of the equation by x
100=24.009081002543*x       - we divide both sides of the equation by (24.009081002543) to get x
100/24.009081002543=x
4.1650907000318=x
x=4.1650907000318

now we have:
110.12 is 4.1650907000318% of 2643.88