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Have you looked at Eric's 555 timer tool
https://www.electro-tech-online.com/tools/IC555V2T2.php
Play with it and find the right values
The 555 behavioral model in the LTSpice library is too perfect to show behavior I talk about in post #4, above. There is a better 555 model on the Yahoo Group that is more realistic...I think the datasheet may also give this for you.....as well as the babani book on 555 timers.
You can mess about with the 555 in the free ltspice simulator till you get 50%
"Just use a divide-by-two flip-flop after the 555 and you won't have to tweak it to get an exact 50% duty-cycle."
How do you work that out ?????