Calculate percentage of increase to retain full amount after fee?

if i want to charge someone $100 and keep the entire amount how much do i charge



my CC processor charges me 2.75 % ... if i simply charge them 102.75, i will still be charged 2.75% on teh $2.75 and will not end up with 100?



please provide formula to determine proper percentage markup.



100 * XXX% - 2.75% = 100



ThanksCalculate percentage of increase to retain full amount after fee?
Let x = the markup

100 + x - [0.0275 (100 + x)] = 100

100 + x - 2.75 - 0.0275x = 100

97.25 + 0.9725x = 100

0.9725x = 2.75

x = $2.83 markup



Check

102.83 x 2.75% = 2.83



Since we used $100 as an example, 2.83% will also be your markup for all future costs.

*Note: The actual percentage comes out to 2.82776349614396%, so I rounded it to 2.83. Your numbers will not always come out exact.

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