What is 75 percent of 416.4 - 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 416.4 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 416.4 is 100%, so we can write it down as 416.4=100%.
4. We know, that x is 75% of the output value, so we can write it down as x=75%.
5. Now we have two simple equations:
1) 416.4=100%
2) x=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:
416.4/x=100%/75%
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% of 416.4

416.4/x=100/75
(416.4/x)*x=(100/75)*x       - we multiply both sides of the equation by x
416.4=1.3333333333333*x       - we divide both sides of the equation by (1.3333333333333) to get x
416.4/1.3333333333333=x
312.3=x
x=312.3

now we have:
75% of 416.4=312.3