40.9 is what percent of 35 - 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 35 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 35, so we can write it down as 100%=35.
4. We know, that x% equals 40.9 of the output value, so we can write it down as x%=40.9.
5. Now we have two simple equations:
1) 100%=35
2) x%=40.9
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%=35/40.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.9 is what percent of 35

100%/x%=35/40.9
(100/x)*x=(35/40.9)*x       - we multiply both sides of the equation by x
100=0.85574572127139*x       - we divide both sides of the equation by (0.85574572127139) to get x
100/0.85574572127139=x
116.85714285714=x
x=116.85714285714

now we have:
40.9 is 116.85714285714% of 35