What is 6.35 percent of 470.4 - 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 470.4 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 470.4 is 100%, so we can write it down as 470.4=100%.
4. We know, that x is 6.35% of the output value, so we can write it down as x=6.35%.
5. Now we have two simple equations:
1) 470.4=100%
2) x=6.35%
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:
470.4/x=100%/6.35%
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 6.35% of 470.4

470.4/x=100/6.35
(470.4/x)*x=(100/6.35)*x       - we multiply both sides of the equation by x
470.4=15.748031496063*x       - we divide both sides of the equation by (15.748031496063) to get x
470.4/15.748031496063=x
29.8704=x
x=29.8704

now we have:
6.35% of 470.4=29.8704