88.95 is what percent of 3121.35 - 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 3121.35 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 3121.35, so we can write it down as 100%=3121.35.
4. We know, that x% equals 88.95 of the output value, so we can write it down as x%=88.95.
5. Now we have two simple equations:
1) 100%=3121.35
2) x%=88.95
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%=3121.35/88.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.95 is what percent of 3121.35

100%/x%=3121.35/88.95
(100/x)*x=(3121.35/88.95)*x       - we multiply both sides of the equation by x
100=35.091062394604*x       - we divide both sides of the equation by (35.091062394604) to get x
100/35.091062394604=x
2.849728482868=x
x=2.849728482868

now we have:
88.95 is 2.849728482868% of 3121.35