How do you find the percent change if original: 66 dimes and new: 30 dimes?

Oct 30, 2015

$54.54 \dot{5} \dot{4} \text{%}$ the displayed decimal point is not clear

read as -> 54 point 545454......%

Explanation:

Assumption: your question means the following

Old price = 66 dimes
New price= 30 dimes ( a reduction in price)
Express the reduction as a percentage of the old price.

Solution:

Change in price is (66-30) dimes = 36 dimes

As a proportion of the old price the reduction is $\frac{36}{66}$

% is also a fraction but expressed as parts of 100 instead of parts of 66.

Without going into the mechanics of the mathematics involve the short cut method is:

$\frac{36}{66} \times 100$

This gives $54.54 \dot{5} \dot{4}$.....% (reoccurring)

The following is only stated as an interest point:
Expressed as an exact value this is
54 54/99 %