How to undo styles for ckeditor?

Question

css

Put on the site ckeditor. Everything is perfectly saved in the database, with tags, everything is fine. But any heresy is displayed on the page, because when creating the template, I reset the css settings. Is there any way to get around this problem? So far, I have found one way out - to add the output of the content to some kind of block and already for the tags inside it to prescribe styles. But it will be very long and probably wrong.