How does a small business build a server for online backup for off site clients?

I want to build a server with appropriate software/hardware to make it very simple for clients to backup & retrieve data.
“Big Cheese” said; “Hire a rackmount server in a data center. Your internet connection wont be sufficient for clients to backup/retrieve data.”
I ask why not & tell me more about a data center & what kind of ‘net connection would I need. How do you know my internet connection isn’t sufficient?

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