#### Solution for 54 is what percent of 66:

54:66*100 =

(54*100):66 =

5400:66 = 81.82

Now we have: 54 is what percent of 66 = 81.82

Question: 54 is what percent of 66?

Percentage solution with steps:

Step 1: We make the assumption that 66 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\%}={66}.

Step 4: In the same vein, {x\%}={54}.

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

{100\%}={66}(1).

{x\%}={54}(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{66}{54}

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

\frac{x\%}{100\%}=\frac{54}{66}

\Rightarrow{x} = {81.82\%}

Therefore, {54} is {81.82\%} of {66}.

#### Solution for 66 is what percent of 54:

66:54*100 =

(66*100):54 =

6600:54 = 122.22

Now we have: 66 is what percent of 54 = 122.22

Question: 66 is what percent of 54?

Percentage solution with steps:

Step 1: We make the assumption that 54 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\%}={54}.

Step 4: In the same vein, {x\%}={66}.

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

{100\%}={54}(1).

{x\%}={66}(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{54}{66}

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

\frac{x\%}{100\%}=\frac{66}{54}

\Rightarrow{x} = {122.22\%}

Therefore, {66} is {122.22\%} of {54}.

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