3.2 is what percent of 2.875 - 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 2.875 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 2.875, so we can write it down as 100%=2.875.
4. We know, that x% equals 3.2 of the output value, so we can write it down as x%=3.2.
5. Now we have two simple equations:
1) 100%=2.875
2) x%=3.2
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%=2.875/3.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.2 is what percent of 2.875

100%/x%=2.875/3.2
(100/x)*x=(2.875/3.2)*x       - we multiply both sides of the equation by x
100=0.8984375*x       - we divide both sides of the equation by (0.8984375) to get x
100/0.8984375=x
111.30434782609=x
x=111.30434782609

now we have:
3.2 is 111.30434782609% of 2.875