Every blockchain transaction has a unique ID, known as "hash". The simplicity and transparency of blockchain transactions let any users check their or other transactions in the blockchain anytime.
If you click on your transaction in the wallet, you will have the full transaction details, along with the hash and the quick link to the explorer. The explorer helps you to check it in the global blockchain. There you can see the process, status, and network fee, along with all full details of your transaction.