Oh boy! The numbers on the bag are the guaranteed percentage of actual plant food in the bag. If you buy a 50 lb bag of 10-10-10 you (or your plants) are guaranteed to receive 5 lbs each of elemental N, P, & K. So, that same 50 lb bag of 10 -10 -10 has 35 lbs of inert material. Why? There's no way to deliver the actual elemental forms of plant material. Its the chemical reactions that occur in the soil that breaks down the basic fertilizer compounds (compounds) into elemental form.
Let's use three compounds to make or blend our 10 - 10 - 10. We will need potassium oxide (K2O); phosphate, to keep it simple (P205): and some nitrogen compound. Let's pick urea (CH4N20), Never mind the chemical compound formula. It just illustrates that there are other elements associated with the compounds we blend to get to a guaranteed analysis.
Potash and phosphate are mined. Both go through processes to remove some of the inert material. Urea is manufactured. The basic compounds are delivered to a fertilizer manufacture to blend or -- prill and ammoniate.
Potassium Oxide, or potash, is 60% elemental potassium (K). Phosphate, and I've bastardized the name for sake of explanation - its really triple super phosphaste - is 45% phosphorous. Urea is 46% nitrogen.
To blend a ton of 10 - 10 -10 we shovel 333 lbs of potash (K20), 444 lbs of triple super phosphate, and 435 lbs of urea into a blender. But, but we still don't have a ton of material although we have 200 lbs of N, P, and K. That's what a ton of 10 - 10 -10 should contain, right? Ten percent of 2,000 lbs is 200 lbs.
What to do? Add filler, about 788 lbs of filler, inert stuff - like chunks of limestone - or gravel. Whatever's cheapest and spreadable.
If we don't add the filler and stop at 1,212 lbs, our guaranteed plant food will be 19% N, 19% P, and 19% K. The proof? 200 lbs of plant food divided by a total of 1,212 pounds of material should equal 19%. Somebody check my math!
There are many more materials the industry uses and figuring percentages gets a little more involved, but it isn't rocket science. In my experience people get confused by the guaranteed analysis and the actual plant food supplied. I'll just stop there, but if you ever want a clinic, let me know.