1405.48 is what percent of 12000 - 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 12000 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 12000, so we can write it down as 100%=12000.
4. We know, that x% equals 1405.48 of the output value, so we can write it down as x%=1405.48.
5. Now we have two simple equations:
1) 100%=12000
2) x%=1405.48
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%=12000/1405.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1405.48 is what percent of 12000

100%/x%=12000/1405.48
(100/x)*x=(12000/1405.48)*x       - we multiply both sides of the equation by x
100=8.5380083672482*x       - we divide both sides of the equation by (8.5380083672482) to get x
100/8.5380083672482=x
11.712333333333=x
x=11.712333333333

now we have:
1405.48 is 11.712333333333% of 12000