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Percent of Change

Key Questions

  • The percentage change formula is:

    #(X_2 / X_1 - 1) * 100#

    where #X_1# is the original value and #X_2# is the final value.

    Example:

    If Google's stock price increases from $500 to $575, it has increased by 15%.

    #(575 / 500 - 1) * 100 = 15%#

  • Answer:

    See the process below:

    Explanation:

    The formula for calculating the percent change in a value between two points in time is:

    #p% = (N - O)/O * 100#

    Where:

    #p# is the percent change

    #N# is the New Value.

    #O# is the Old Value

    Take the old and new values you are given in the problem, substitute them for #O# and #N# and calculate the percent change

  • The formula for calculating the percent change in a value between two points in time is:

    #p = (N - O)/O * 100#

    Where:

    #p# is the percent change

    #N# is the New Value

    #O# is the Old Value

  • If #x# is some changing quantity, and #Delta x# be the change in #x#-value, then the percentage change can be found by

    #{Delta x}/x times 100#


    Example

    What is the percentage change (discount) of $12 discount on $300 item?

    #{12}/{300} times 100=4%# discount


    I hope that this was helpful.

Questions