Totally normal and not out of the ordinary at all..
Your input simply exceeded your tanks current capacity to export it..
Which is VERY common for the first 8+ months of a tank from my experience unless starting with very well established live rock..
After about that 8 month mark maintaining low nitrate levels gets fairly easy.. But those first months can be a PITA...
Its quite easy/fast to get the "nitrifying" (converts ammonia/nitrite to nitrate) bacteria established..
It typically takes longer to establish sufficient "denitrifying" (converts nitrate to gas) bacteria..
I'm not sure the size of your tank but if its 10G then 5G is a good starting point..

If your tank is larger than 10G I'd highly suggest shooting for a 50% water change..
In general a 50% water change will reduce nitrate levels by 50%.. 20% by 20%,etc.....
So if your tank is 100G then a 5G water change is going to do VERY little for your current nitrate level..