299.25 is what percent of 383 - 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 383 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 383, so we can write it down as 100%=383.
4. We know, that x% equals 299.25 of the output value, so we can write it down as x%=299.25.
5. Now we have two simple equations:
1) 100%=383
2) x%=299.25
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%=383/299.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 299.25 is what percent of 383

100%/x%=383/299.25
(100/x)*x=(383/299.25)*x       - we multiply both sides of the equation by x
100=1.2798663324979*x       - we divide both sides of the equation by (1.2798663324979) to get x
100/1.2798663324979=x
78.13315926893=x
x=78.13315926893

now we have:
299.25 is 78.13315926893% of 383