What is 6.4 percent of 74.95 - 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 74.95 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 74.95 is 100%, so we can write it down as 74.95=100%.
4. We know, that x is 6.4% of the output value, so we can write it down as x=6.4%.
5. Now we have two simple equations:
1) 74.95=100%
2) x=6.4%
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:
74.95/x=100%/6.4%
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 6.4% of 74.95

74.95/x=100/6.4
(74.95/x)*x=(100/6.4)*x       - we multiply both sides of the equation by x
74.95=15.625*x       - we divide both sides of the equation by (15.625) to get x
74.95/15.625=x
4.7968=x
x=4.7968

now we have:
6.4% of 74.95=4.7968