please read the entirety of my post...
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with monitors that puts you at a theoretical minimum of 355w and a maximum of 1020w
now your minimum usage numbers arent a problem however the maximum numbers could very well be a problem.
a 1500va/980w battery backup such as the one below can last for about 40 minutes at minimum however your maximum is outside its maximum (980w) specifications. the one you linked me to is even worse at only a 865w peak. if you lose power and the system is under full load the ups will not be able to power the load and your system will suffer a shutdown as if you had no ups.
that means that if you have all 3 monitors, speakers and tower plugged in to your battery backup it will not work when under full maximum load. now, if you are not at full load (under the max wattage) then it would work. please see my notes about full load below the line...
a 2200va/1980w battery backup (the next step up) can last for about 100 minutes at minimum and 23 minutes at maximum without issues. you dont need to worry about full load at all in this case. however, its not cheap.
http://www.apc.com/products/resource/include/techspec_index.cfm?base_sku=SUA2200I&total_watts=1000
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for the 1500va ups systems... if you ran at the maximum supported wattage of the system i listed (980w) you would get about 6 minutes of runtime. if running the system you mentioned (885w) you would get 2.5 minutes of runtime. keep in mind that if you exceeded those values the system would not work at all.
now, with all that said even running a full system burn in test you arent going to go to full load (max draw) conditions. the 885w (without speakers) that you listed sounds very high even for a system with a r9 290x and 4770k. i'm betting that you dont come anywhere NEAR that during actual daily use.
just as an example my system lists at a peak load of 539w at 100% load when calculated out using
http://extreme.outervision.com/PSUEngine however my actual normal maximum wattage is anywhere from 340w-430w while gaming. so even though you want to keep the theoretical maximums in mind... your ACTUAL maximum wattage used is more important.
now, if your actual wattages used are below the rated maximums on the ups then you wont have a problem.
if your actual values are below 885w then the one you linked would work. you wouldnt get 10 minutes of use though.
if your actual values are below 980w then the one i linked would work. you will get 10 minutes of use if your max actual watts used is about 800w
if your values ever exceed the max rated capacity though... well you know what happens.
now, you could not put your speakers on the ups and perhaps put only 1 monitor on the ups (or just have them on the surge protect side not the battery backup side) and that would drop you by a good 100w which would extend your runtimes
keep in mind that your actual use depends on the wattage drawn by the system at the time. if running at minimum draw (idle or surfing the web) your runtimes will be much longer. above i am discussing the minimum runtimes (at maximum wattages).
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if you have any questions.. post them.
i know its a bit confusing.