Why numbers did not decide Trafalgar

What effect did Trafalgar have on how other nations viewed naval power?

It demonstrated the value of preparation and effective gunnery: the Royal Navy defeated a larger fleet because its ships and guns were used more effectively.

Trafalgar confronted other nations with a victory by twenty-seven British ships against thirty-three allied ships. Within limits, the way a fleet used its guns mattered more than the nominal total. The comparison with Tsushima makes the same point about effective fighting power. Britain's success also exposed the scale of investment in the Royal Navy and the infrastructure supporting it.