3.2 is what 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 100% equals 46.4, so we can write it down as 100%=46.4.
4. We know, that x% equals 3.2 of the output value, so we can write it down as x%=3.2.
5. Now we have two simple equations:
1) 100%=46.4
2) x%=3.2
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:
100%/x%=46.4/3.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.2 is what percent of 46.4

100%/x%=46.4/3.2
(100/x)*x=(46.4/3.2)*x       - we multiply both sides of the equation by x
100=14.5*x       - we divide both sides of the equation by (14.5) to get x
100/14.5=x
6.8965517241379=x
x=6.8965517241379

now we have:
3.2 is 6.8965517241379% of 46.4