A responsive website design adapts the website to the screen size and orientation of the device that you are using. This is now a very important and beneficial feature as many people browse websites on mobile devices as well as laptops and desktop computers.
When viewing a non-responsive website on a mobile device such as a tablet or smart phone, it can be awkward and frustrating to navigate.
Managing the content on your website can also be a lot easier if it is mobile responsive, as you can update the one website easily rather than having to update both the main and mobile sites separately.
You will be able to show or direct your clients or customers to your website anywhere, anytime and know that your site will look good and be easy to use.