How do I convince clients to buy my software even when they think my prices are high?

It's not about price, it's about value.  Communicate the value of your product to them.

For Client conversion, study what is all market is about? Do your SWAT analysis.

Develop CRO Plan. They key is your website, and content marketing, make short videos of your existing happy customers. 

Pitch your new customers with benefits along with confidence of Customer support.

Its possible to convince clients to purchase software even the price is high. I definitely compare the feature of my software, reliability, durability or sustainability, after sales service, if require to the competitive relevant software to the market. if my one is good one then i ask question to the client, do you want to purchase software below this feature, as my product provide you so many facilities and we assure you the life long good relationship to this product, so, we can go for this price. I think what price we offer this is very rear in Market with such feature product. and we also going for international platform. so, now its your consideration whether you be a member of such authentic software to reach you organization apex or by using narrow software with low price, make downward movement of your organization.

One simple step:Offer them to  Build a business network for them based on their nature of business and give them future rebate on certain high value services or products.    You can give them a few services free for certain period.  But always remember do not over load your customer with more and more attractive offers.  Push them and feed them what they can digest.

showing them the benefits of using this software and comparing it with the lower quality products