First thing to know is about audio watts.
2 watts is not twice as loud and 1 watt
To double volume level is 10 times current wattage.
So 10 watts will be twice as loud as 1 watt.
100watts will be twice as loud as 10 watts
1,000watts is twice as loud as 100watts
Most audio systems are quite loud at 100watts, especially inside a vehicle.
So save your money when it comes to wattage
A 200 seat auditorium is well served for most music with 250watts
Rock music might need 750watts
Outdoor concerts 1,500watts
Stadiums 5,000watts, might go as high as 15,000watts for Rock show
The Speaker rating to look at is Continuous Power Handling and its impedance, subs are usually 4ohm.
For most music the amp should be 1.5 times the speakers Continuous Power Handling.
For Rock or heavy bass beats 2.5 times is OK.
So 100watt Continuous Power Handling speaker with 150watt amp would be OK, 250watt would be OK as well.
100watts is not Peak handling so the 250watt amp won't hurt it.
A 250watt amp does not produce 250watts all the time, in fact it probably never will, but on paper it can

Amps should also have a Continuous Power rating, RMS isn't that, in fact RMS doesn't mean much, lol.
But since you have that number then use it.
Using a 160watt speaker with a 260watt amp will be fine.
160 x 1.5 = 240
If possible you don't want to go below the 1.5 times speaker to amp, better sound quality.
You only "blow" speakers if the amp starts to Clip, distortion, usually on bass notes.
That is usually caused by over driving the input signal into that amp