How to subtract a percentage with a minimum error?

Question

Mathematics

There is a task to subtract from the number first the percentage, say 6.51%, and then subtract 6% from the resulting number. For example, we subtract 6.51% from 23583.123 will be 22047.8616927
Then subtract another 6% from the resulting number 22047.8616927 and get 20724.9899911
But what if I need to do this in one operation and without formulas, approximately? How best to do this so that the error is minimal, while it is better to go up (that is, it is permissible for the number to be slightly larger, but preferably not less, although if the error is minimal, then it will do). It should be borne in mind that the numbers are small, that is, up to 50,000, as a rule, this is the maximum, more often - much less, up to 10,000.
As I understand it, if we take the above example, then 12.12% can be subtracted, and on small numbers the error will not be significant (I wish I could measure it on numbers up to 10000, including fractional ones)

Answer 1

"subtract 6.51%" in the first step will leave (100% - 6.51%) = 93.49%; the operation is equivalent to multiplying by 0.9349
“subtract from the resulting 6%” will leave 94% of it, which is equivalent to multiplying the “turned out” by 0.94
Both operations: x * 0.9349 * 0.94 = x * 0,878806without errors, exactly.
Use on health. At your leisure, repeat the school mathematics, where percentages pass.