How do I calculate the wholesale price, if I have the retail price and the wholesale markup %?

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Given that I have the retail price & desired retail markup % of an item, how do I then calculate the wholesale price?

Say the following is true for a cup:

Retail: $100

Desired Markup: 100%

Wholesale: $???

Instinctively I know that the Wholesale price should be $50, because I know that marking up $50 by 100% would give me $100.

But how do I calculate that in a formula, such that I could enter that formula into a 'Wholesale' field in Excel and have it reference the Retail price and the Desired Markup and then get the correct wholesale price?

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Applying a markup of $n$% to a base amount is the same as multiplying the base amount by $$\frac{100 + n}{100}$$ To remove the markup, just multiply the marked up amount by $$\frac{100}{100+n}$$