Percentages

The base value G, the percentage value W, the percentage p or p%, the growth factor q and the final value E are calculated when two independent values are entered.

Basic formulas:

The percentage can be entered as a percentage, as a fraction or as a decimal fraction. The following applies:

$1\% = \frac{1}{100} = 0{,}01$

The percentage value W is calculated from the base value G and the percentage p% using the following formula:

$W = p\% \cdot G = \frac{p}{100} \cdot G$

The final value E is calculated from the base value G and the growth factor q using the following formula:

$E = q \cdot G = (1 + \frac{p}{100}) \cdot G$

Given:
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           base value G = 150
        percentage p% = 2.5% = 0.025 = 1/40

Results:
¯¯¯¯¯¯¯
percentage value W = 3.75
        growth factor q = 102,5% = 1,025 = 41/40
            final value E = 153.75

Given:
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percentage value W = -120
        growth factor q = 95% = 0,95 = 19/20

Results:
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           base value G = 2400
        percentage p% = -5% = -0.05 = -1/20
             final value E = 2280  

See also: