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Is there a dollar amount that, when adding Massachusetts Sales Tax, precisely equals $200?
Don't worry about it.  The State doesn't care about rounding error.  All you need to do is say "We charge our prices with tax included" - you know, like carnivals and movie theaters.   Then follow the procedures your state specifies for computing reportable tax.  Quite likely it wants your pre-tax sales total for the reporting period. To get that, total up your gross sales that you collected, and divide by (1 + tax rate).  Just like DJClayworth says, except do it on total sales instead of per-item.  If you need to do the split per-transaction for Quickbooks or something, that's annoying.  What Quickbooks says will be pennies off the method I describe above.  The state don't care as long as it's just pennies, or in their favor.