What is 75.2 percent of 338.4 - 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 338.4 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 338.4 is 100%, so we can write it down as 338.4=100%.
4. We know, that x is 75.2% of the output value, so we can write it down as x=75.2%.
5. Now we have two simple equations:
1) 338.4=100%
2) x=75.2%
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:
338.4/x=100%/75.2%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 75.2% of 338.4

338.4/x=100/75.2
(338.4/x)*x=(100/75.2)*x       - we multiply both sides of the equation by x
338.4=1.3297872340426*x       - we divide both sides of the equation by (1.3297872340426) to get x
338.4/1.3297872340426=x
254.4768=x
x=254.4768

now we have:
75.2% of 338.4=254.4768