$(10$ Points$)$ Write a program that transforms the following formula into C$++$ code:

celsius $=(5\mathrm{.}0/9)*($fahrenheit $-32).$

Identify the input and output variables and types.

List the steps the program must perform to get the outputs from inputs.

Write the detailed pseudocode with the actual variable names used in the program.

Transform your pseudocode to a C$++$ program.

Program output after execution of the program assuming the user entered $100$ when prompted for the temperature in Fahrenheit.