46.75 is what percent of 165 - 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 165 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 165, so we can write it down as 100%=165.
4. We know, that x% equals 46.75 of the output value, so we can write it down as x%=46.75.
5. Now we have two simple equations:
1) 100%=165
2) x%=46.75
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:
100%/x%=165/46.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.75 is what percent of 165

100%/x%=165/46.75
(100/x)*x=(165/46.75)*x       - we multiply both sides of the equation by x
100=3.5294117647059*x       - we divide both sides of the equation by (3.5294117647059) to get x
100/3.5294117647059=x
28.333333333333=x
x=28.333333333333

now we have:
46.75 is 28.333333333333% of 165