314.75 is what percent of 2495 - 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 2495 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 2495, so we can write it down as 100%=2495.
4. We know, that x% equals 314.75 of the output value, so we can write it down as x%=314.75.
5. Now we have two simple equations:
1) 100%=2495
2) x%=314.75
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%=2495/314.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 314.75 is what percent of 2495

100%/x%=2495/314.75
(100/x)*x=(2495/314.75)*x       - we multiply both sides of the equation by x
100=7.9269261318507*x       - we divide both sides of the equation by (7.9269261318507) to get x
100/7.9269261318507=x
12.615230460922=x
x=12.615230460922

now we have:
314.75 is 12.615230460922% of 2495