I have been getting random charges from apple.com/bill and cannot determine what they are for. As far as I know there are no apple devices connected to my bank account. How do I identify what the charges are for?

This is a user to user support forum. No one here can give a definitive explanation or change things for you.

Review recent purchases at https://reportaproblem.apple.com/, check your purchase history in iTunes, view your subscriptions, or check for an iCloud storage plan. If you are the organizer of a family share check for purchases by other members.

See also If you see 'apple.com/bill' on your billing statement - Apple Support and How apps, content, and subscriptions from Apple are billed - Apple Support.

If you cannot identify the payment then perhaps you are looking at a phishing email. See Recognize and avoid phishing messages, phony support calls, and other scams - Apple Support.

If there really have been purchases that you didn't authorize, or you've entered your Apple ID credentials at a fake Apple portal, see If you think your Apple ID has been compromised - Apple Support, change your Apple ID password, and if possible turn on Two-factor authentication for Apple ID - Apple Support.

See also Prevent in-app purchases from the App Store - Apple Support.

• If there is no evidence of a charge on either your iTunes or bank/credit card accounts this is likely to be a phishing exercise which you should ignore.

• If there is a charge shown under your iTunes store account and it relates to misuse of your Apple ID then you need to start a conversation with iTunes Store support to get it cancelled and refunded, change your password, and enable two-factor authentication if at all possible.

• If it isn't connected to your own Apple ID but funds have gone from your bank or credit card account that purport to be from iTunes then the account has been compromised and you need to deal directly with your financial institution.

tt2

The last point mentioned by tt2 - charges from Apple on your banking account can occur, if somehow clandestinely copied the details of your credit card (for example when paying with the credit card and someone had the opportunity to make a copy of the card and security code). Then this person could be using your credit card to shop in the AppStore or the iTunes Store. Contact both your bank as soon as possible to stop further charges to your account and Apple Support as well.

When this happened to me a few years ago, I got a refund from Apple for all purchases made at the App Store with my credit card, that had not been tied to my AppleID.