Why are you deceptively bringing up the Space Shuttle? That was never intended to be a serious cost-effective launch vehicle. Also, why are you deceptively talking about 97% and 99% like the difference between 30x and 100x is not a factor of 3?
The Ariane 5, first launching in 2003 which is 7 years earlier than the first Falcon 9 launch, had a launch cost of ~150 M$ in 2015 with a payload to LEO of ~16,000 kg for a cost of 10,000 $/kg. The Soyuz-2, first launching in 2004 which is 6 years earlier than the first Falcon 9 launch, had a launch cost of ~35 M$ with a payload to LEO of ~8,000 kg for a cost of ~4,500 $/kg.
The truth is 3-6% of your claim of 100x cost improvement.
