2775.38 is what percent of 3482.16 - 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 3482.16 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 3482.16, so we can write it down as 100%=3482.16.
4. We know, that x% equals 2775.38 of the output value, so we can write it down as x%=2775.38.
5. Now we have two simple equations:
1) 100%=3482.16
2) x%=2775.38
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%=3482.16/2775.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2775.38 is what percent of 3482.16

100%/x%=3482.16/2775.38
(100/x)*x=(3482.16/2775.38)*x       - we multiply both sides of the equation by x
100=1.2546606230498*x       - we divide both sides of the equation by (1.2546606230498) to get x
100/1.2546606230498=x
79.702828129667=x
x=79.702828129667

now we have:
2775.38 is 79.702828129667% of 3482.16