Answer :

First, calculate [tex]$20\%$[/tex] of [tex]$360$[/tex]:

[tex]$$
20\% \text{ of } 360 = 0.20 \times 360 = 72.
$$[/tex]

Subtract this value from [tex]$360$[/tex] to find the reduced number:

[tex]$$
360 - 72 = 288.
$$[/tex]

Next, to determine what percent [tex]$288$[/tex] is of [tex]$360$[/tex], use the formula:

[tex]$$
\text{Percentage} = \left(\frac{288}{360}\right) \times 100.
$$[/tex]

Simplify the fraction:

[tex]$$
\frac{288}{360} = 0.80.
$$[/tex]

Finally, multiply by [tex]$100$[/tex]:

[tex]$$
0.80 \times 100 = 80\%.
$$[/tex]

Thus, the number that is [tex]$20\%$[/tex] less than [tex]$360$[/tex] is [tex]$\boxed{80\%}$[/tex] of [tex]$360$[/tex].

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