28 is what percent of 1311 - 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 1311 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 1311, so we can write it down as 100%=1311.
4. We know, that x% equals 28 of the output value, so we can write it down as x%=28.
5. Now we have two simple equations:
1) 100%=1311
2) x%=28
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%=1311/28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28 is what percent of 1311

100%/x%=1311/28
(100/x)*x=(1311/28)*x       - we multiply both sides of the equation by x
100=46.821428571429*x       - we divide both sides of the equation by (46.821428571429) to get x
100/46.821428571429=x
2.1357742181541=x
x=2.1357742181541

now we have:
28 is 2.1357742181541% of 1311