Rent Increase

I have a rental in California that is $1200 below market (no rent control). Initially rented below market by $300. When I look at current market, I realize I could be getting a lot more. I have a tenant I would like to keep however I'm not sure how to do this. Tenant has been renting for 5 years with increase of $60 in year 2 and $60 in year 4, and I would like to increase $100 this May and another $100 in 6 months. Does this seem reasonable?

Thanks.