What is 113.67 percent of 40.99 - 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 40.99 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 40.99 is 100%, so we can write it down as 40.99=100%.
4. We know, that x is 113.67% of the output value, so we can write it down as x=113.67%.
5. Now we have two simple equations:
1) 40.99=100%
2) x=113.67%
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:
40.99/x=100%/113.67%
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 113.67% of 40.99

40.99/x=100/113.67
(40.99/x)*x=(100/113.67)*x       - we multiply both sides of the equation by x
40.99=0.87973959707926*x       - we divide both sides of the equation by (0.87973959707926) to get x
40.99/0.87973959707926=x
46.593333=x
x=46.593333

now we have:
113.67% of 40.99=46.593333