Change cross-reference name of enumerated items using cleveref

Question

I feel this is a really basic question, but I haven't figured out a solution after searching for half an hour so maybe other people will find this question useful as well.

I'm using the cleveref package for all my referencing needs. By default, when I reference say the first item of an enumerated list, the reference is displayed as item 1. However, I'd like the cross-reference name to be part, i.e. the reference should read part 1. I've been experimenting with the \crefname command, but

\crefname{item}{part}{parts}

doesn't do the trick. Does anyone know what I have to supply in the first argument to change the \crefname of items?

Here's a MWE to work with:

\documentclass{article}

\usepackage{enumitem}
\usepackage{cleveref}

\begin{document}

\begin{enumerate}
\item\label{item 1} Item 1.
\end{enumerate}

See \cref{item 1}.

\end{document}

Answer 1

cleveref use the counters as type. The counters of enumerate are enumi, enumii, enumiii enumiv: (I wouldn't use spaces in label names, so I removed it)

\documentclass{article}

\usepackage{enumitem}
\usepackage{cleveref}
\crefname{enumi}{part}{parts}
\begin{document}

\begin{enumerate}
\item\label{item1} Item 1.
\end{enumerate}

See \cref{item1}.

\end{document}