2.78 is what percent of 3.16 - 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 3.16 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 3.16, so we can write it down as 100%=3.16.
4. We know, that x% equals 2.78 of the output value, so we can write it down as x%=2.78.
5. Now we have two simple equations:
1) 100%=3.16
2) x%=2.78
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%=3.16/2.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.78 is what percent of 3.16

100%/x%=3.16/2.78
(100/x)*x=(3.16/2.78)*x       - we multiply both sides of the equation by x
100=1.136690647482*x       - we divide both sides of the equation by (1.136690647482) to get x
100/1.136690647482=x
87.974683544304=x
x=87.974683544304

now we have:
2.78 is 87.974683544304% of 3.16