Question

Write $95.6\% $ as a decimal.

Answer 1

Hint: We can solve this question using a simple statement which is: Percent as a decimal= Percent divided by 100. So by using some basic properties and by converting $95.6\% $ in accordance with the above stated equation and by applying it in the given question we can write $95.6\% $ as a decimal by using multiplication as well as by using other basic properties.

Complete step-by-step solution:
Given
$95.6\% .........................................\left( i \right)$
So our aim is to write $95.6\% $ as a decimal such that we have to express $95.6\% $ in terms of decimal points rather than the fractional representation.
Now by using the property: Percent as a decimal = Percent divided by 100, we can write $95.6\% $ as follows;
$95.6\% = \dfrac{{95.6}}{{100}}........................\left( {ii} \right)$
Such that by simple simplification of (ii) we can represent $95.6\% $ as a decimal.
Now on diving with the number $100$:
We know that for a number with an existing decimal point, the division with the number $100$ can easily be achieved through the shifting of the decimal point in the left direction by two places.
Such that on applying that property here we can write:
$
  95.6\% = \dfrac{{95.6}}{{100}} \\
   = 0.956.......................\left( {iii} \right) \\
 $
Therefore on representing $95.6\% $ as a decimal we get $0.956$.

Note: The literal meaning of the word ‘percent’ is out of 100. Basis point is a term used in the financial markets. It simply means one hundredth of a percentage point. Similarly percentile is a term which is used to describe the cumulative percentage and has a wider application in the field of statistics. Percentages were introduced for making the calculation much easier and understandable.