Develop a Java program to convert dates from one format to another.

The user will input a string composed of the date formatted as: Month,D,Year (example February,15,2020). Your code will format the date to: YYYY/MM/DD (Example 2020/2/15). Assume a perfect user who will enter the date in the specified format.

Input: Date as string of the format: Month,D,Year Output: Date formatted as: YYYY/MM/DD