173.82 is what percent of 2845.12 - 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 2845.12 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 2845.12, so we can write it down as 100%=2845.12.
4. We know, that x% equals 173.82 of the output value, so we can write it down as x%=173.82.
5. Now we have two simple equations:
1) 100%=2845.12
2) x%=173.82
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%=2845.12/173.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 173.82 is what percent of 2845.12

100%/x%=2845.12/173.82
(100/x)*x=(2845.12/173.82)*x       - we multiply both sides of the equation by x
100=16.368196985387*x       - we divide both sides of the equation by (16.368196985387) to get x
100/16.368196985387=x
6.1094083905073=x
x=6.1094083905073

now we have:
173.82 is 6.1094083905073% of 2845.12