So client has asked me to add an option to their website where they can apply margin markup instead of regular markup.
But all the formulas that I seem to be reading seem to know the revenue value in order to calculate the margin.
But I don't know the revenue.
https://www.omnicalculator.com/finance/margin#how-to-calculate-profit-margin
This calculator in the link above does not know the revenue, and simply calculates the revenue.
For example £1
Margin: 30%
Revenue: £1.43
So I need to know the formula that makes this 43% regular markup.
To arrive at a 10% margin, the markup percentage is 11.1%
To arrive at a 20% margin, the markup percentage is 25.0%
To arrive at a 30% margin, the markup percentage is 42.9%
To arrive at a 40% margin, the markup percentage is 80.0%
To arrive at a 50% margin, the markup percentage is 100.0%
Can this be made into a formula somehow?
$$ \frac{1}{1- p_{\text{margin}}} = 1 + p_{\text{markup}} $$ where $p_{\text{margin}}$ is the margin divided by $100~\%$; and $p_{\text{markup}}$ is the markup divided by $100~\%$.