Can I substitute a 12VDC 100mA plug-in-the-wall power supply with a 12VDC 800mA supply?

A 100mA supply I have, which worked fine, is now broken. I also have a 800mA supply. Since they both have12VDC outputs, but the mA outputs are different, can I swap the higher mA for the lower mA and not have a burn-out problem?
9 answers 9