2.75 is what percent of 4.09 - 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 4.09 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 4.09, so we can write it down as 100%=4.09.
4. We know, that x% equals 2.75 of the output value, so we can write it down as x%=2.75.
5. Now we have two simple equations:
1) 100%=4.09
2) x%=2.75
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%=4.09/2.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.75 is what percent of 4.09

100%/x%=4.09/2.75
(100/x)*x=(4.09/2.75)*x       - we multiply both sides of the equation by x
100=1.4872727272727*x       - we divide both sides of the equation by (1.4872727272727) to get x
100/1.4872727272727=x
67.237163814181=x
x=67.237163814181

now we have:
2.75 is 67.237163814181% of 4.09