What is 0.75 percent of 46.4 - 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 46.4 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 46.4 is 100%, so we can write it down as 46.4=100%.
4. We know, that x is 0.75% of the output value, so we can write it down as x=0.75%.
5. Now we have two simple equations:
1) 46.4=100%
2) x=0.75%
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:
46.4/x=100%/0.75%
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 0.75% of 46.4

46.4/x=100/0.75
(46.4/x)*x=(100/0.75)*x       - we multiply both sides of the equation by x
46.4=133.33333333333*x       - we divide both sides of the equation by (133.33333333333) to get x
46.4/133.33333333333=x
0.348=x
x=0.348

now we have:
0.75% of 46.4=0.348