1424.74 is what percent of 40000 - 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 40000 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 40000, so we can write it down as 100%=40000.
4. We know, that x% equals 1424.74 of the output value, so we can write it down as x%=1424.74.
5. Now we have two simple equations:
1) 100%=40000
2) x%=1424.74
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%=40000/1424.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1424.74 is what percent of 40000

100%/x%=40000/1424.74
(100/x)*x=(40000/1424.74)*x       - we multiply both sides of the equation by x
100=28.075297949099*x       - we divide both sides of the equation by (28.075297949099) to get x
100/28.075297949099=x
3.56185=x
x=3.56185

now we have:
1424.74 is 3.56185% of 40000