Your question is one of mass. Your clay is heavier than the internet says dirt weighs. 2x as much actually. When you mix your compost into your clay, try putting a 12 inch by 12 inch by 6 inch deep tray full of your clay on a bathroom scale. Keep it as original as possible as if it were a half cubic foot plucked from the earth somehow.
Once you know the weight you can make use of a ratio of clay to compost. You really do not want to go too far. Plants mature best in soil. If you get much past 30% compost or so, you are making it expensive and weird for a garden. You will also be shocked at how little your compost weighs relative to that fine clay. I would suggest 2 square feet of your garden to 6 inches be mixed with the weight of one square foot in whatever volume of compost the scale says it equals.
If you want to break soil and mix deeper then adjust your newfound ratio to the depth by weight. I choose to make hill rows, in part because it is a method that helps "aeration", or airspace, or by another name drainage.
This is the soil texture triangle. The percentages are by mass (weight basically). Your compost is serving as sand and silt might impact clay drainage. You can use a jar test to see what is in your soil. Clay will never settle, but silt will as will sand.