311.75 is what percent of 2445.1 - 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 2445.1 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 2445.1, so we can write it down as 100%=2445.1.
4. We know, that x% equals 311.75 of the output value, so we can write it down as x%=311.75.
5. Now we have two simple equations:
1) 100%=2445.1
2) x%=311.75
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%=2445.1/311.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 311.75 is what percent of 2445.1

100%/x%=2445.1/311.75
(100/x)*x=(2445.1/311.75)*x       - we multiply both sides of the equation by x
100=7.8431435445068*x       - we divide both sides of the equation by (7.8431435445068) to get x
100/7.8431435445068=x
12.749989775469=x
x=12.749989775469

now we have:
311.75 is 12.749989775469% of 2445.1