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Commitments and Contingencies
12 Months Ended
Dec. 31, 2017
Commitments and Contingencies Disclosure [Abstract]  
Commitments and Contingencies
COMMITMENTS AND CONTINGENCIES
We have certain noncancelable operating lease commitments with lease terms greater than one year for property and computer equipment. The minimum commitments under these agreements at December 31, 2017, were as follows:
 
(millions)
Commitments

2018
$
53.6

2019
44.2

2020
28.5

2021
16.9

2022
8.0

Thereafter
1.1

Total
$
152.3


Some of the leases have options to renew at the end of the lease periods. The expense we incurred for the leases disclosed above, as well as other operating leases that may be cancelable or have terms less than one year, was:
 
(millions)
Expense

2017
$
77.2

2016
72.9

2015
66.6


We also have certain noncancelable purchase obligations. The minimum commitment under these agreements at December 31, 2017, was $546.3 million.
The insurance operations of ARX have several multiple-layer property catastrophe excess of loss reinsurance contracts with various reinsurers with terms ranging from one to three years. The minimum commitment under these contracts was $90.7 million at December 31, 2017.