40 is what percent of 8694 - 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 8694 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 8694, so we can write it down as 100%=8694.
4. We know, that x% equals 40 of the output value, so we can write it down as x%=40.
5. Now we have two simple equations:
1) 100%=8694
2) x%=40
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%=8694/40
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40 is what percent of 8694

100%/x%=8694/40
(100/x)*x=(8694/40)*x       - we multiply both sides of the equation by x
100=217.35*x       - we divide both sides of the equation by (217.35) to get x
100/217.35=x
0.46008741660916=x
x=0.46008741660916

now we have:
40 is 0.46008741660916% of 8694