Well, if you were reporting your tips to the IRS like you are legally obligated to do, you could show them the income.
Otherwise, you will have to ask them what they will take as proof of income. This is a common challenge for people paid in cash/self employed people. They might accept an additional deposit/last month's rent etc in lieu of a guarantor.
You are legally required to report all your tips to the IRS. If your restaurant uses a POS system that tracks your sales, you should be required to fill out a tip report each night. This will show up on your W-2 and you may be able to get HR to generate a current report.
You may also be able to show your landlord copies of bank statements that show the amount of money you deposit.
You really can't.
I’m trying to move into an apartment in August, but I have no one to sign on as a guarantor. The complex’s requirement to not have one is to make at least 3 times the price of rent in income, which starting this week I will be doing without trouble, but primarily in tips. How do I prove to the complex that I make the proper amount when it doesn’t show my full wages on my paystub before I sign the lease on Friday?