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Percentages are percentages - simple! The marketing people have not yet come up with "new improved" percentages.
You cannot calculate weights to percentages. Percentages are comparisons of two related quantities so you can have one weight as a percentage of another weight, but not by itself.
To find x as a percentage of y, calculate 100*x/y.
It is 100*staff costs/total costs.
To calculate X, as a percentage of Y, divide (100*X) by Y.