1106.4 is what percent of 2300 - 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 2300 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 2300, so we can write it down as 100%=2300.
4. We know, that x% equals 1106.4 of the output value, so we can write it down as x%=1106.4.
5. Now we have two simple equations:
1) 100%=2300
2) x%=1106.4
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%=2300/1106.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1106.4 is what percent of 2300

100%/x%=2300/1106.4
(100/x)*x=(2300/1106.4)*x       - we multiply both sides of the equation by x
100=2.0788141720897*x       - we divide both sides of the equation by (2.0788141720897) to get x
100/2.0788141720897=x
48.104347826087=x
x=48.104347826087

now we have:
1106.4 is 48.104347826087% of 2300