| Shareholder Report | 6 Months Ended |
| Sep. 30, 2024 USD ($) Holding |
| Shareholder Report [Line Items] | |
| Document Type | N-CSR |
| Amendment Flag | false |
| Registrant Name | Federated Hermes Core Trust III |
| Entity Central Index Key | 0001411674 |
| Entity Investment Company Type | N-1A |
| Document Period End Date | Sep. 30, 2024 |
| C000069418 | |
| Shareholder Report [Line Items] | |
| Fund Name | Project and Trade Finance Core Fund |
| No Trading Symbol [Flag] | true |
| Annual or Semi-Annual Statement [Text Block] | This semi-annual shareholder report contains important information about the Project and Trade Finance Core Fund (the "Fund") for the period of April 1, 2024 to September 30, 2024. |
| Shareholder Report Annual or Semi-Annual | Semi-Annual Shareholder Report |
| Additional Information [Text Block] | You can find additional information at FederatedHermes.com/us/FundInformation |
| Additional Information Phone Number | 1-800-341-7400 |
| Additional Information Website | <span style="text-decoration: underline solid rgb(0, 0, 0); box-sizing: border-box; color: rgb(0, 0, 0); display: inline; flex-wrap: nowrap; font-size: 12px; font-weight: 400; grid-area: auto; line-height: 18px; margin: 0px; overflow: visible; text-align: left;">FederatedHermes.com/us/FundInformation</span></span>" id="sjs-B18"><span style="box-sizing: border-box; color: rgb(0, 0, 0); display: inline; flex-wrap: nowrap; font-size: 12px; font-weight: 400; grid-area: auto; line-height: 18px; margin: 0px; overflow: visible; text-align: left;"><span style="text-decoration: underline solid rgb(0, 0, 0); box-sizing: border-box; color: rgb(0, 0, 0); display: inline; flex-wrap: nowrap; font-size: 12px; font-weight: 400; grid-area: auto; line-height: 18px; margin: 0px; overflow: visible; text-align: left;">FederatedHermes.com/us/FundInformation</span></span> |
| Expenses [Text Block] | What were the Fund costs for the last six months? (based on a hypothetical $10,000 investment) Fund Name Costs of a $10,000 investment Costs paid as a percentage of a $10,000 investment Project and Trade Finance Core Fund $4 0.08% |
| Expenses Paid, Amount | $ 4 |
| Expense Ratio, Percent | 0.08% |
| AssetsNet | $ 1,042,328,666 |
| Holdings Count | Holding | 100 |
| InvestmentCompanyPortfolioTurnover | 24% |
| Additional Fund Statistics [Text Block] | Key Fund Statistics Net Assets $1,042,328,666 Number of Investments 100 Portfolio Turnover 24% |
| Holdings [Text Block] | Top Security Types (% of Net Assets) Value Value Cash Equivalents 10.5% Trade Finance Agreements 81.7% |
| Material Fund Change [Text Block] | |
