Answer :
We start by letting the unknown number be [tex]$x$[/tex]. The statement "116 is [tex]$11\%$[/tex] of what" translates into the equation
[tex]$$
0.11 \times x = 116.
$$[/tex]
To solve for [tex]$x$[/tex], we divide both sides of the equation by [tex]$0.11$[/tex]:
[tex]$$
x = \frac{116}{0.11}.
$$[/tex]
Carrying out this division, we find that
[tex]$$
x \approx 1054.5454545454545.
$$[/tex]
Thus, [tex]$116$[/tex] is [tex]$11\%$[/tex] of approximately [tex]$1054.5454545454545$[/tex].
[tex]$$
0.11 \times x = 116.
$$[/tex]
To solve for [tex]$x$[/tex], we divide both sides of the equation by [tex]$0.11$[/tex]:
[tex]$$
x = \frac{116}{0.11}.
$$[/tex]
Carrying out this division, we find that
[tex]$$
x \approx 1054.5454545454545.
$$[/tex]
Thus, [tex]$116$[/tex] is [tex]$11\%$[/tex] of approximately [tex]$1054.5454545454545$[/tex].