what percent of 51 is 127.5?

To get the solution, we are looking for, we need to point out what we know. 

1. We assume, that the number 51 is 100% - because it's the output value of the task. 
2. We assume, that x is the value we are looking for. 
3. If 100% equals 51, so we can write it down as 100%=51. 
4. We know, that x% equals 127.5 of the output value, so we can write it down as x%=127.5. 
5. Now we have two simple equations:
1) 100%=51
2) x%=127.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=51/127.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for...

7. Solution for 127.5 is what percent of 51

100%/x%=51/127.5
(100/x)*x=(51/127.5)*x       - we multiply both sides of the equation by x
100=0.4*x       - we divide both sides of the equation by (0.4) to get x
100/0.4=x 
250=x 
x=250

now we have: 
127.5 is 250% of 51

Did i help you at all?

Hayley: Good work but not quite right. This is how to do it:

127.5/51=2.5 - 1=1.50 X 100=150%

So, 127.5 is 150% of 51. Check:51 + (150% X 51)=127.5

All that work was for nothing :C Thanks for helping me with my mistakes!

Sorry about that!. But that is how you learn, by making mistakes.

Absoutely! If no one told me i was making mistakes.. I would not be a junior right now! 

100% of 51 = 51

50% of 51 = 25.5

150% of 51 = 76.5  (not 127.5)

127.5 = 51 + 51 + 25.5

ie;      =!00% of 51 + 100% of 51 + 50% of 51

127.5 =250% of 51    <<< ANS

I see what I did wrong! Thanks! (: