#### Solution for 768 is what percent of 900:

768:900*100 =

(768*100):900 =

76800:900 = 85.33

Now we have: 768 is what percent of 900 = 85.33

Question: 768 is what percent of 900?

Percentage solution with steps:

Step 1: We make the assumption that 900 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={900}.

Step 4: In the same vein, {x\%}={768}.

Step 5: This gives us a pair of simple equations:

{100\%}={900}(1).

{x\%}={768}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{900}{768}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{768}{900}

\Rightarrow{x} = {85.33\%}

Therefore, {768} is {85.33\%} of {900}.

#### Solution for 900 is what percent of 768:

900:768*100 =

(900*100):768 =

90000:768 = 117.19

Now we have: 900 is what percent of 768 = 117.19

Question: 900 is what percent of 768?

Percentage solution with steps:

Step 1: We make the assumption that 768 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={768}.

Step 4: In the same vein, {x\%}={900}.

Step 5: This gives us a pair of simple equations:

{100\%}={768}(1).

{x\%}={900}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{768}{900}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{900}{768}

\Rightarrow{x} = {117.19\%}

Therefore, {900} is {117.19\%} of {768}.

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