Yes, you have the math right on that.
But again, make sure you check your actual expenses. Let's say your house is 3,500 square feet and 300 are for the home office. So about 8.5%. You used it 7/12 of the year (58%) so you net out to 4.95%.
So if you housing expenses are more than (875/.0495) = $17,676 you "win" by using the actual expenses. Housing expenses = property tax, home mortgage interest, homeowners insurance, mortgage premium insurance, utilities, security system, homeowner association fees . . .
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