100.88 is what percent of 3144.75 - 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 3144.75 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 3144.75, so we can write it down as 100%=3144.75.
4. We know, that x% equals 100.88 of the output value, so we can write it down as x%=100.88.
5. Now we have two simple equations:
1) 100%=3144.75
2) x%=100.88
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%=3144.75/100.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.88 is what percent of 3144.75

100%/x%=3144.75/100.88
(100/x)*x=(3144.75/100.88)*x       - we multiply both sides of the equation by x
100=31.173176050753*x       - we divide both sides of the equation by (31.173176050753) to get x
100/31.173176050753=x
3.2078861594721=x
x=3.2078861594721

now we have:
100.88 is 3.2078861594721% of 3144.75