Yes, but someone who is paying in euros doesn't care what the price in dollars is, only what the cost in euros is. If yesterday $100 == 100 euros, but today $11

Yes, but someone who is paying in euros doesn't care what the price in dollars is, only what the cost in euros is. If yesterday $100 == 100 euros, but today $110 == 95 euros, then your $110 exported good now looks more attractive to people paying in euros, even though it's now more expensive at home.