What is 113.67 percent of 102.99 - 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 102.99 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 102.99 is 100%, so we can write it down as 102.99=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) 102.99=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:
102.99/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 102.99

102.99/x=100/113.67
(102.99/x)*x=(100/113.67)*x       - we multiply both sides of the equation by x
102.99=0.87973959707926*x       - we divide both sides of the equation by (0.87973959707926) to get x
102.99/0.87973959707926=x
117.068733=x
x=117.068733

now we have:
113.67% of 102.99=117.068733