108.83 is what percent of 2176.65 - 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 2176.65 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 2176.65, so we can write it down as 100%=2176.65.
4. We know, that x% equals 108.83 of the output value, so we can write it down as x%=108.83.
5. Now we have two simple equations:
1) 100%=2176.65
2) x%=108.83
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%=2176.65/108.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.83 is what percent of 2176.65

100%/x%=2176.65/108.83
(100/x)*x=(2176.65/108.83)*x       - we multiply both sides of the equation by x
100=20.000459432142*x       - we divide both sides of the equation by (20.000459432142) to get x
100/20.000459432142=x
4.9998851446029=x
x=4.9998851446029

now we have:
108.83 is 4.9998851446029% of 2176.65