race. That number info only indicates the speakers are designed to handle up to 175 watts continually & up to 700 watts for those occasional peaks.
Ordinary users in ordinary situations don't require exceptionally powerful amplification.
Yes, jostenmeat mentions some familiar sound pressure levels, measured as dBs. Volume above a sustained 110 dB is recognized as territory which damages hearing.
And common sense leads you to know there is an important relationship for solund depending how far you are from the source. Yes, it is exponentially inverse.
Sure, some factors could alter the amount of power you would feel appropriate, like trying to fill a large auditorium with sound as opposed to more "normal" home size rooms.
My opinion is that your needs are not particularly high, so many a receiver would suffice. I also have an opinion that for personal sound enjoyment, selecting speakers is where most aparent differences are because both no speakers are perfect & the well known brands & models have their own sound character. So, my emphasis is on the speakers that you will live with for a long time.
I started out with relatively modest tastes & surely a modest budget. Like most of my ilk I perhaps didn't do the best job of surveying the market to select the most appropriate speakers from the git go. Because I have learned, the tastes got intrigued with what seemed exotic to me at the time. Actual mature judgment of speakers took longer & I have had a history of a succession of primary speakers over the years.
At my age, I now have achieved getting B&W speakers which interested me for years. Rather expensive, but I do appreciate so as a minor but old audiophile. Point is that young folks often get interested up front in what receiver to get (when I consider that somewhat backwards.) They may wind up overbuying a receiver & that in turn compromises the budget for the speakers.
The last few years I have had & am totally satisfied with Denon receivers, but in no way would I represent that someone should definitely have just those. The past couple years have seen great notice of Onkyo introducing up to date connectivity & features establishing new benchmarks for value. C/NET rated them favorably. I might note they don't rate the Onkyo quite as high as Denon, with Denon getting the nod for slightly higher but subtle sound & also for increased reliability.
The Onkyo TX-RS 605 (or soon to be replaced by a new 606 model) has been great value. It will do ordinary users well indeed. Some speakers have impedance that starts lower than easy to operate 8 ohm ones & slide even lower, which puts extra pressure on the amp to deliver sufficient power. Those, known as difficult loads are prime candidates to consider more elaborate power sources with more watts per channel & much higher maximum current capabilities.