262.8 is what percent of 309 - 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 309 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 309, so we can write it down as 100%=309.
4. We know, that x% equals 262.8 of the output value, so we can write it down as x%=262.8.
5. Now we have two simple equations:
1) 100%=309
2) x%=262.8
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%=309/262.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 262.8 is what percent of 309

100%/x%=309/262.8
(100/x)*x=(309/262.8)*x       - we multiply both sides of the equation by x
100=1.175799086758*x       - we divide both sides of the equation by (1.175799086758) to get x
100/1.175799086758=x
85.04854368932=x
x=85.04854368932

now we have:
262.8 is 85.04854368932% of 309