46.82 is what percent of 328.82 - 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 328.82 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 328.82, so we can write it down as 100%=328.82.
4. We know, that x% equals 46.82 of the output value, so we can write it down as x%=46.82.
5. Now we have two simple equations:
1) 100%=328.82
2) x%=46.82
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%=328.82/46.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.82 is what percent of 328.82

100%/x%=328.82/46.82
(100/x)*x=(328.82/46.82)*x       - we multiply both sides of the equation by x
100=7.0230670653567*x       - we divide both sides of the equation by (7.0230670653567) to get x
100/7.0230670653567=x
14.238793260751=x
x=14.238793260751

now we have:
46.82 is 14.238793260751% of 328.82