A Phase 1b Study of PEGylated Recombinant Human Hyaluronidase (PEGPH20) Combined With Docetaxel in Subjects With Recurrent Previously Treated Locally Advanced or Metastatic NSCLC

Inclusion Criteria: * Signed, approved Informed Consent. * Histologically confirmed and documented previously treated Stage IIIB/IV Non-Small Cell Lung Cancer (NSCLC), having failed 1 previous platinum chemo regimen for locally advanced or metastatic disease. * Cohort Expansion: Available archival tumor tissue block or 5-10 unstained, consecutive core biopsy slides from one archival tumor block that meet specific tissue requirements. * Cohort Expansion: Participants must be determined to be hyaluronidase (HA)-high based on tumor biopsy that meets the requirements noted in the previous inclusion criterion. * Cohort Expansion: One or more tumors measurable on computed tomography/magnetic resonance imaging (CT/MRI) scan per Response Evaluation Criteria on Solid Tumors (RECIST) v 1.1 (Eisenhauer 2009; Appendix C). * Participants may have failed a programmed cell death protein 1 (PD-1) or programmed death-ligand 1 (PD-L1) therapy for advanced disease. * Participants that are known to be epidermal growth factor (EGFR)-activating mutation positive must have received an EGFR inhibitor. * Participants known to be anaplastic lymphoma kinase (ALK)-fusion/rearrangement mutation positive must have received an ALK inhibitor. * Most prior therapies and prior targeted therapy are allowed and these specific therapies are detailed in the protocol. * Life expectancy - =/\> 3 months, Eastern Cooperative Oncology Group status = 0 or 1. * Negative urine or serum pregnancy test within 7 days before Day 1 (first dose of study medication) if female participants is of childbearing potential (WOCBP). * Men and women agreement to use effective contraceptive method. For WOCBP and for men, agreement to use an effective contraceptive method from the time of screening throughout the study until 1 month for WOCBP or 6 months for men after administration of the last dose of any study medication. * Specific ranges/levels of Screening labs that are acceptable per protocol. * Age \>/= 18 years. Exclusion Criteria: * Previous treatment with docetaxel. * Failed more than 3 treatment regimens for locally advanced or metastatic NSCLC. * New York Heart Assoc Class III or IV cardiac disease, myocardial infarction within the past 12 months before screening, or pre-existing atrial fibrillation. * History of cerebrovascular accident or transient ischemic attack. * Pre-existing carotid artery disease. * Previous history of pulmonary embolism or pulmonary embolism found on screening exam. * No ongoing requirement for corticosteroids * Active, uncontrolled bacterial, viral, or fungal infection requiring systemic therapy at time of screening. * Known infection with HIV and active infection with hepatitis B or C. * Known allergy to hyaluronidase or any constituents of docetaxel formulation. * Current use (within 10 days of day 1) of megestrol acetate. * Chronic concomitant use of strong CYP3A4 inhibitors (e.g., ketoconazole, itraconazole, clarithromycin, indinavir, nefazodone, nelfinavir, ritonavir, saquinavir, telithromycin, and voriconazole). * Women currently pregnant or breast feeding. * Intolerance to dexamethasone, as determined by Investigator. * History of another primary cancer within the last 3 years that required treatment, with the exception of non-melanoma skin cancer, early stage prostate cancer, or curatively treated cervical carcinoma in situ. * Any other disease, metabolic dysfunction, physical exam finding, or clinical lab finding that leads to reasonable suspicion of disease that contraindicates the use of an investigational drug that might affect interpretation of results or render subject at high risk for treatment complications. * In opinion of Investigator, make subject unsuitable for study. * Hypersensitivity to the active substance or ingredients of PEGPH20 and docetaxel. * Subject's inability to comply with study and follow-up procedures, as judged by the Investigator.