Here are the records for Iowa, K-State, and BYU since 2002 (15 years back)
- Iowa: 132-73
- K-State: 122-81
- BYU: 126-77
Additionally, in that time Iowa has gone to the Rose Bowl, 2 Orange Bowls, 5 Outback Bowls and the Capital One Bowl.
Kansas State has gone to 2 Fiesta Bowls, the Cotton Bowl, and the Holiday Bowl.
BYU's best bowl during that period has been the Vegas Bowl.
Iowa and K-State have been better than BYU during that period. They've done as well as or better than BYU, they've played better competition, and they've gone to better bowl games.