What is 4040 percent of 115 - 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 115 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 115 is 100%, so we can write it down as 115=100%.
4. We know, that x is 4040% of the output value, so we can write it down as x=4040%.
5. Now we have two simple equations:
1) 115=100%
2) x=4040%
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:
115/x=100%/4040%
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 4040% of 115

115/x=100/4040
(115/x)*x=(100/4040)*x       - we multiply both sides of the equation by x
115=0.024752475247525*x       - we divide both sides of the equation by (0.024752475247525) to get x
115/0.024752475247525=x
4646=x
x=4646

now we have:
4040% of 115=4646