Click Restore and wait so many hours, how many you have to physically copy your data from one drive to another. Drag SSD prepared partition to Destination field (you called it SSD). Select Original Primary partition on the left (Macintosh HD) and on the right select Restore tab. Boot you Mac into Recovery mode again (Cmd+R). Do not connect original disk until you are done. Do not erase or start using old disk until everything is finished.
Note: if this disk already was initialized or used on other system like Windows, please delete all existing partitions before this step and start like new! This is important to have new system bootable.
#CHANGE MAC HDD TO SSD MAC OS X#
Under format choose Mac OS X Extended (journaled) and click Erase. Click Erase tab and chose name for new device, I recommend to name it SSD, so you can clearly see difference in next steps. Connect new SSD drive to Mac if not done so yet, and select it on left in Disk Utility. Now you have to prepare new SSD drive.
Macintosh HD) to resize to size smaller than new target SSD disk.
Do it to external HDD or Time Capsule device. You need: 1 SSD drive and USB SATA adapter, it can be any enclosure, or SATA to USB adapter cable, or if you have thunderbolt or any faster connection this is even more preferred. This solution does not require any reinstall, all the way setup of user account and Mac settings, or separate programs or much more time consuming operations than direct disk to disk data transfer. The fastest and most efficient way can be done completely using standard tools in OS X. Clone larger HDD drive to smaller SSD drive on Mac.