40.34 is what percent of 1016.7 - 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 1016.7 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 1016.7, so we can write it down as 100%=1016.7.
4. We know, that x% equals 40.34 of the output value, so we can write it down as x%=40.34.
5. Now we have two simple equations:
1) 100%=1016.7
2) x%=40.34
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%=1016.7/40.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.34 is what percent of 1016.7

100%/x%=1016.7/40.34
(100/x)*x=(1016.7/40.34)*x       - we multiply both sides of the equation by x
100=25.203272186415*x       - we divide both sides of the equation by (25.203272186415) to get x
100/25.203272186415=x
3.9677387626635=x
x=3.9677387626635

now we have:
40.34 is 3.9677387626635% of 1016.7