[Idiom] A synonym for 'You are right'

[Jilibili]

hi
1. Can you give me a synonym for 'You are right'.
2. Are clean up and clear up synonymous?

 

[teechar]

Hi,
1. Can you give me a synonym for 'You are right'.

You are correct.

(less formally)
You're (absolutely) spot on!

2. Are "clean up" and "clear up" synonymous?

They can be.
e.g.
They need to clean/clear up this mess.

but not always
e.g.
They need to clear [STRIKE]/clean[/STRIKE] up the misunderstanding.
They need to clean [STRIKE]/clear[/STRIKE] up their act.

 

[Matthew Wai]

I found the idiom 'hit the nail on the head' below, but I am not a teacher.

http://idioms.thefreedictionary.com/hit+the+nail+on+the+head
www.oxfordlearnersdictionaries.com/definition/english/head_1#head_1__992

 

[MikeNewYork]

That works, in AmE.