44.83 is what percent of 1140 - 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 1140 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 1140, so we can write it down as 100%=1140.
4. We know, that x% equals 44.83 of the output value, so we can write it down as x%=44.83.
5. Now we have two simple equations:
1) 100%=1140
2) x%=44.83
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%=1140/44.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.83 is what percent of 1140

100%/x%=1140/44.83
(100/x)*x=(1140/44.83)*x       - we multiply both sides of the equation by x
100=25.429399955387*x       - we divide both sides of the equation by (25.429399955387) to get x
100/25.429399955387=x
3.9324561403509=x
x=3.9324561403509

now we have:
44.83 is 3.9324561403509% of 1140