A Study About How TAK-881 is Processed by the Body and Side Effects in People With Primary Immunodeficiency Diseases

Exclusion Criteria

• •Participant has a known history of a positive result or is positive at screening for one or more of the following: hepatitis B surface antigen (HBsAg), polymerase chain reaction (PCR) for hepatitis C virus (HCV), PCR for human immunodeficiency virus (HIV) Type 1/2. Cured participants with a history of hepatitis C infection who have a negative PCR test at screening is eligible.
• •Abnormal laboratory values at screening meeting any one of the following criteria (abnormal tests may be repeated once to determine if they are persistent):
• •1. Persistent alanine aminotransferase (ALT) and aspartate aminotransferase (AST) \>2.5\* the upper limit of normal (ULN) for the testing laboratory.
• •2. Persistent severe neutropenia (defined as an absolute neutrophil count \[ANC\] less than and equal to (\<=) 500 per cubic millimeter (/mm\^3).
• •Known history of chronic kidney disease or estimated glomerular filtration rate (eGFR) of \<60 milliliter per minute per 1.73 square meter (mL/min/1.73m\^2) at screening.
• •Participant has anemia that would preclude phlebotomy for laboratory studies, according to standard practice at the site, at the discretion of the investigator.
• •Participant has a known history of hypersensitivity or persistent reactions (urticaria, breathing difficulty, severe hypotension, or anaphylaxis) following IV immunoglobulin, SC immunoglobulin, and/or immune serum globulin infusions.
• •Participants with a known systemic hypersensitivity to any of the excipients of TAK-881/HYQVIA in accordance with the Investigator's Brochure (IB)/package insert/Summary of Product Characteristics (SmPC).
• •Known substance or prescription drug abuse within 12 months of screening.
• •Participant has immunoglobulin A (IgA) deficiency (IgA less than 0.07 g/L) associated with known anti-IgA antibodies and a history of hypersensitivity.
• •Participant has a known systemic hypersensitivity to hyaluronidase or rHuPH20.
• •Participant has active infection and is receiving antibiotic therapy for the treatment of infection at the time of screening.
• •Participant has a bleeding disorder, or a platelet count less than 20,000 per microliter (mcL), or in the opinion of the investigator, would be at significant risk of increased bleeding or bruising as a result of immune globulin subcutaneous (IGSC) therapy.
• •Treatment with immunosuppressants including chemotherapeutic agents, immunomodulators, and long-term systemic corticosteroid (defined as a daily dose of \>1 mg of prednisone equivalent/kg/day for \>30 days) within 12 weeks prior to screening. Short or intermittent courses (\<=10 days) of corticosteroids are allowed.
• •Live-attenuated viral vaccination within 12 weeks prior to screening.
• •History or current diagnosis of thrombotic episodes; venous thrombus that occurred in association with a medical device \>2 years prior to screening are allowed.
• •Participant has severe dermatitis that would preclude adequate sites for safe product administration in the opinion of the investigator.
• •Participant has a medical condition, laboratory finding, or physical examination finding that precludes participation, or with clinical evidence of any significant acute or chronic disease that, in the opinion of the investigator, may interfere with successful completion of the study or place the participant at undue medical risk.
• •Participant has participated in another clinical study involving an investigational product (IP) or investigational device within 30 days prior to screening.
• •Participant is scheduled to participate in another clinical study involving an IP (except for participants scheduled to enroll in a long-term follow-up study with TAK-881) or investigational device during the course of this study.
• •Participant is a family member or employee of the investigator or the investigator's site staff.
• •If female, participant is pregnant or lactating at the time of screening.