1120.46 is what percent of 3845 - 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 3845 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 3845, so we can write it down as 100%=3845.
4. We know, that x% equals 1120.46 of the output value, so we can write it down as x%=1120.46.
5. Now we have two simple equations:
1) 100%=3845
2) x%=1120.46
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%=3845/1120.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1120.46 is what percent of 3845

100%/x%=3845/1120.46
(100/x)*x=(3845/1120.46)*x       - we multiply both sides of the equation by x
100=3.4316262963426*x       - we divide both sides of the equation by (3.4316262963426) to get x
100/3.4316262963426=x
29.140702210663=x
x=29.140702210663

now we have:
1120.46 is 29.140702210663% of 3845