Updating WordPress

Hello,

I recently was given ownership to help manage our company’s website which is currently on WordPress version 4.5.3 and a lot of the plugins are also out of date. I figured out how to make a Staging site through Softaculous in order to test the updates before going live with them. Might be a silly question, but if I update the WordPress version on https://staging.shop.foodfightinc.com/ will it also update on https://shop.foodfightinc.com/ ?

The page I need help with: [log in to see the link]