vary with (something)
1. To differ from or be at odds with something else. Our findings vary with the Pentagon's official report. We need to figure out why your answers vary with those of the textbook.
2. To become different based on or according to some determining factor. A person's reaction to this medication will vary with age. The tone of my writing tends to vary with how happy I am in a given moment.
vary with something
1. to be at variance with someone's figures or a sum or estimate. My figures vary with yours considerably. Her estimate varies with yours by a few dollars.
2. to change according to something. The rainfall in New York State varies with the season. His mood varies with the stock market average.