65.5 is what percent of 466.34 - 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 466.34 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 466.34, so we can write it down as 100%=466.34.
4. We know, that x% equals 65.5 of the output value, so we can write it down as x%=65.5.
5. Now we have two simple equations:
1) 100%=466.34
2) x%=65.5
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%=466.34/65.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.5 is what percent of 466.34

100%/x%=466.34/65.5
(100/x)*x=(466.34/65.5)*x       - we multiply both sides of the equation by x
100=7.1196946564885*x       - we divide both sides of the equation by (7.1196946564885) to get x
100/7.1196946564885=x
14.045546168032=x
x=14.045546168032

now we have:
65.5 is 14.045546168032% of 466.34