3310.75 is what percent of 3375 - 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 3375 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 3375, so we can write it down as 100%=3375.
4. We know, that x% equals 3310.75 of the output value, so we can write it down as x%=3310.75.
5. Now we have two simple equations:
1) 100%=3375
2) x%=3310.75
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%=3375/3310.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3310.75 is what percent of 3375

100%/x%=3375/3310.75
(100/x)*x=(3375/3310.75)*x       - we multiply both sides of the equation by x
100=1.0194064788945*x       - we divide both sides of the equation by (1.0194064788945) to get x
100/1.0194064788945=x
98.096296296296=x
x=98.096296296296

now we have:
3310.75 is 98.096296296296% of 3375