3431.81 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 3431.81 of the output value, so we can write it down as x%=3431.81.
5. Now we have two simple equations:
1) 100%=40000
2) x%=3431.81
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%=40000/3431.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3431.81 is what percent of 40000

100%/x%=40000/3431.81
(100/x)*x=(40000/3431.81)*x       - we multiply both sides of the equation by x
100=11.655656927394*x       - we divide both sides of the equation by (11.655656927394) to get x
100/11.655656927394=x
8.579525=x
x=8.579525

now we have:
3431.81 is 8.579525% of 40000