> 60% of that energy is lost in conversion
However, unlike for a home gas boiler where the efficiency is maybe 90%, direct efficiency for gas stoves is poor. Basically you set fire to the gas, the fire is near the pans you're using for cooking, so they get hot. It's simple, but it is not at all efficient. This also produces waste CO2 (and some CO but hopefully not much), which is poisonous although not that poisonous, right where you are standing, whereas your gas boiler vents the waste gas to the outside air.
In contrast induction has much better efficiency and of course produces no poisonous gases itself (though cooking foods does release a variety of volatiles you shouldn't really breathe, especially pan frying)
So while "Burn gas in your home" to heat water is definitely a net efficiency win over "Burn gas in a power station, ship the electricity to your home, then use that" to heat water, the same does not follow for stoves where I suspect it's either a wash or a small win for electricity.