How can I use `\renewcommand` to wrap `\colorbox` around `\Verb` by only changing the preamble?

Question

What works:

I have TeX files which contain code like:

I want \texttt{this text} to have a background color.

I want the \texttt to have a background color:

I want \colorbox{lightgray}{\texttt{this text}} to have a background color.

However, I cannot modify the body of the TeX files - only the preamble. So I added:

\let\oldtexttt\texttt
\renewcommand{\texttt}[1]{\colorbox{lightgray}{\oldtexttt{#1}}}

That works perfectly.

---

What doesn't work:

Unfortunately, I also have:

I want \Verb|this text| to have a background color.

Which should really be:

I want \colorbox{lightgray}{\Verb|this text|} to have a background color.

But I cannot get \renewcommand to work the same way as above to add the \colorbox around it.

---

MCVE:

\documentclass[12pt]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{lmodern}
\usepackage{xcolor}
\usepackage{fancyvrb}

\let\oldtexttt\texttt
\renewcommand{\texttt}[1]{\colorbox{lightgray}{\oldtexttt{#1}}}

\begin{document}

I want \texttt{this text} to have a background color.

I want \Verb|this text| to have a background color.

\end{document}

Answer 1

Use newverbs package:

\documentclass[12pt]{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage{lmodern}
\usepackage{xcolor}
\usepackage{fancyvrb}
\usepackage{newverbs}

\let\oldtexttt\texttt
\renewcommand{\texttt}[1]{\colorbox{lightgray}{\oldtexttt{#1}}}

\renewcommand{\Verb}{\collectverb{\colorbox{lightgray}}}

\begin{document}

I want \texttt{this text} to have a background color.

I want \Verb|this text| to have a background color.

\end{document}