Add the chickpeas, Greek yogurt, tahini, lemon juice, minced garlic, olive oil, salt, and cumin to the bowl of a food processor.
Process the ingredients on high until the mixture is smooth and creamy.
With the processor running, add cold water one tablespoon at a time until the hummus reaches your desired consistency — silky and spreadable.
Taste and adjust seasoning, adding more salt or lemon juice if needed.
Transfer the hummus to a serving bowl. Drizzle with olive oil and sprinkle with smoked paprika or parsley if you like.
Serve with fresh vegetables, pita chips, or as a spread on sandwiches.