Percentages

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

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

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

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

Example 1:

Given:
¯¯¯¯¯¯  
           basic 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

Example 2:

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

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

See also:

Wikipedia: percent