BY 1700, all of Mexico, Florida, and much of the American Southwest and California were under control.

By 1700, all of Mexico, Florida, and much of the American Southwest and California were under Spanish control.

Explanation:

Al these territories formed part by 1700 of the colony of New Spain, which included what is now Mexico, plus the current states of California, Nevada, Colorado, Utah, New Mexico, Arizona, Texas, Oregon, Washington, Florida and parts of Idaho, Montana, Wyoming, Kansas, Oklahoma and Louisiana, of the current United States; as well as the southwestern part of British Columbia of present Canada; plus the General Captaincy of Guatemala (which included the current countries of Guatemala, the state of Chiapas, Belize, Costa Rica, El Salvador, Honduras, Nicaragua); plus the General Captaincy of Cuba (current Cuba, Dominican Republic, Puerto Rico, Trinidad and Tobago and Guadeloupe).

They were under the rule of the empire of Spain