An x% increase in minimum wage is correlated with an <x% inflation [1].
This is also trivial to show as the cost of a good is rarely majority labor (even trucking is majority diesel) so if a $9 shipment is $1 profit, $4 gas, $2 labor, $2 depreciation a 10% increase in labor (to $2.2) only moves the overall cost to $9.2 is a 2% increase.
But even if a good was majority labor, a total cost of $9 with $8 labor becomes $9.8 which is still less than 10%. Obviously also goods produced by labor above the minimum wage (ex. plumbers) isn't affected by a change in the minimum wage.
This is also trivial to show as the cost of a good is rarely majority labor (even trucking is majority diesel) so if a $9 shipment is $1 profit, $4 gas, $2 labor, $2 depreciation a 10% increase in labor (to $2.2) only moves the overall cost to $9.2 is a 2% increase.
But even if a good was majority labor, a total cost of $9 with $8 labor becomes $9.8 which is still less than 10%. Obviously also goods produced by labor above the minimum wage (ex. plumbers) isn't affected by a change in the minimum wage.
[1]: https://ftp.iza.org/dp1072.pdf