Is this a noticeable upgrade? gaming computer builder

I bought a HP Pavilion VR Ready Gaming Desktop (560-p015hvr) for what I believe to be a very good deal.

I'm replacing a Dell XPS 9000 that I bought used a while ago.

I'm not computer saavy at all and would like to know if there will be a noticeable difference in performance between the two systems.

I primarily use the PC for music production and some very light video editing.

I will put the specs for both pcs below. Thanks!

New HP Pavilion Intel Core i5-6400 2.7 GHz CPU 8GB DDR4 Memory 1TB Hard Drive + 128GB SSD AMD RX 480 4GB GDDR5 Graphics 802.11ac WiFi + Bluetooth 4.2 DVD-Writer 300W Bronze Efficiency PSU Windows 10 Home

Old Dell XPS

Intel Core i7-920 2.66GHz CPU 9GB DDR3 Desktop Memory Kit ATI Radeon HD 5870 1GB Graphic Card 1TB Western Digital Hard Drive

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