What is 35.1 percent of 116 - 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 116 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 116 is 100%, so we can write it down as 116=100%.
4. We know, that x is 35.1% of the output value, so we can write it down as x=35.1%.
5. Now we have two simple equations:
1) 116=100%
2) x=35.1%
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:
116/x=100%/35.1%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 35.1% of 116

116/x=100/35.1
(116/x)*x=(100/35.1)*x       - we multiply both sides of the equation by x
116=2.8490028490028*x       - we divide both sides of the equation by (2.8490028490028) to get x
116/2.8490028490028=x
40.716=x
x=40.716

now we have:
35.1% of 116=40.716