440.04 is what percent of 10755 - 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 10755 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 10755, so we can write it down as 100%=10755.
4. We know, that x% equals 440.04 of the output value, so we can write it down as x%=440.04.
5. Now we have two simple equations:
1) 100%=10755
2) x%=440.04
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%=10755/440.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 440.04 is what percent of 10755

100%/x%=10755/440.04
(100/x)*x=(10755/440.04)*x       - we multiply both sides of the equation by x
100=24.440959912735*x       - we divide both sides of the equation by (24.440959912735) to get x
100/24.440959912735=x
4.0914923291492=x
x=4.0914923291492

now we have:
440.04 is 4.0914923291492% of 10755