161.88 is what percent of 2751.75 - 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 2751.75 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 2751.75, so we can write it down as 100%=2751.75.
4. We know, that x% equals 161.88 of the output value, so we can write it down as x%=161.88.
5. Now we have two simple equations:
1) 100%=2751.75
2) x%=161.88
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%=2751.75/161.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 161.88 is what percent of 2751.75

100%/x%=2751.75/161.88
(100/x)*x=(2751.75/161.88)*x       - we multiply both sides of the equation by x
100=16.998702742772*x       - we divide both sides of the equation by (16.998702742772) to get x
100/16.998702742772=x
5.882801853366=x
x=5.882801853366

now we have:
161.88 is 5.882801853366% of 2751.75