What is 2.77 percent of 3.008 - 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 3.008 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 3.008 is 100%, so we can write it down as 3.008=100%.
4. We know, that x is 2.77% of the output value, so we can write it down as x=2.77%.
5. Now we have two simple equations:
1) 3.008=100%
2) x=2.77%
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:
3.008/x=100%/2.77%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 2.77% of 3.008

3.008/x=100/2.77
(3.008/x)*x=(100/2.77)*x       - we multiply both sides of the equation by x
3.008=36.101083032491*x       - we divide both sides of the equation by (36.101083032491) to get x
3.008/36.101083032491=x
0.0833216=x
x=0.0833216

now we have:
2.77% of 3.008=0.0833216