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Percentages


A value followed by a '%' sign is simply divided by 100, except when the most recent pending operation is '+' or '-', in which case the number is divided by 100, the result is added to or subtracted from 1, and the pending operation is changed to '*'. This has the effect of adding a percentage to the preceding value as calculated so far (or subtracting it).


Examples:

50% => 0.5

120 * 5% => 6 and 120 / 5% => 2400

120 + 5% => 126 and 120 - 5% => 114

20 + (30 + 40 + 5%) => 93.5

20 + (30 + 40)% => 34

20 + 30% + 40% is the same as (20 + 30%) + 40% => 36.4

Caution:

Adding 17.5% VAT to an item costing 100 pence: 100+17.5% gives the expected result of 117.5, but attempting to reverse the process by doing 117.5-17.5% will give the result 96.9375. The recommended method of deducting VAT at 17.5% is to multiply the value by 40/47. Doing this, 117.5*40/47 gives the expected result of 100.