Sadly, some authors confuse everyone by equating the "controlling" part to "management".
"part to" is not a phrase in that sentence. e. the part of something, probably the part of some text, that talks about or has to do with "controlling") Y = "management"
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"part to" is not a phrase in that sentence. The pattern is "equating X to Y", where:
X = the "controlling" part
(i.e. the part of something, probably the part of some text, that talks about or has to do with "controlling")
Y = "management"