How to calculate how a percentage scales up?

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Sorry i know this is probably a very stupid question.

But given a pie,

Let us say we have 3 slices of 50%, 30% and 20%

now at each iteration i remove one slice (starting from the big one)

so after removing the first slice of 50%, i am now left with two slices, but they are no longer 30% and 20% as they now need to make up 100% again, so they "turn" into 60% and 40% respectively.

after the next slide is removed (60%) there is only one slice left which is now 100% (the entire pie)

given any combination of percentages, how can i calculate (given the example above) that the previously 30% slice should now be 60% after the 50% slice is removed?

can you give a calculation example for

50%, 30% & 20%

as well as:

35% 35% 30%

Thanks!

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The total you have after removing the first $50\%$ is $100-50=50\%$.

So, what was $30\%$ earlier is now $30\%$ of $50\%$, i.e., $\frac{30}{50}\times 100 = 60\%$. Similarly, the $20\%$ of the full pie from before is now $20\%$ of $50\%$, which gives $\frac{20}{50}\times 100 = 40\%$.

As another example, for the $35-35-30$ case, once you remove $35\%$ of the pie, you have $35\%$ of $100-35=65\%$, and $30\%$ of $65\%$.