The 76% figure is a global statistic from the ILO's 2018 report 'Care work and care jobs for the future of decent work', not an EU-specific figure. The claim is made in the European Parliament without clarifying that it refers to global data rather than the European Union.
The ILO data is from 2018, making it approximately 8 years old at the time of the speech. While gender gaps in unpaid care work change slowly, more recent data may show different figures.
The MEP did not cite the source (ILO), which would have clarified the global scope of the statistic.
Sources
PrimaryInternational Labour Organization (ILO)Globally, women perform 76.2 per cent of total hours of unpaid care work, more than three times as much as men.