FRANKFURT, Germany — Volkswagen announced plans Friday to cut 30,000 jobs in a wide-ranging restructuring of its namesake brand as it tries to recover from a scandal over cars rigged to cheat on diesel emissions tests.

The German company said the job cuts, which account to around 5 percent of its global workforce, are part of a long-term plan to improve profitability and shift resources and investment to electric-powered vehicles and digital services.

At a news conference at Volkswagen’s headquarters in Wolfsburg, company officials said 23,000 of the job cuts will be in Germany and that the measures will save some $4 billion a year from 2020.

CEO Matthias Mueller said it was “the biggest reform package in the history of our core brand.” In addition to Volkswagen, the company also makes cars under other brands including Porsche, Audi, SEAT, Skoda and Lamborghini.

The announcement caps a difficult year for Volkswagen, which has been embroiled in an emissions-rigging scandal that damaged the company’s reputation and cost it billions.

In response, Volkswagen has agreed to pay $15 billion to U.S. authorities and owners of some 500,000 vehicles with software that turned off emissions controls. Around 11 million cars worldwide have the deceptive software.

The scandal has been a spur for the company to address long-standing problems such as high fixed costs at its manufacturing locations in Germany and excessively top-down management that many say created an environment that enabled the cheating.

Herbert Diess, head of the core Volkswagen brand, conceded that Volkswagen had let its costs rise and “lost ground in terms of productivity.” The changes, he said, would make the company “leaner and more efficient.”

The cuts are aimed at addressing Volkswagen’s long-standing cost issue.

Volkswagen, with 624,000 employees around the world, sells roughly the same number of cars as Toyota and General Motors — around 10 million a year. But Toyota does it with 349,000 workers and GM with 202,000.