#### Solution for 254 is what percent of 552:

254:552*100 =

(254*100):552 =

25400:552 = 46.01

Now we have: 254 is what percent of 552 = 46.01

Question: 254 is what percent of 552?

Percentage solution with steps:

Step 1: We make the assumption that 552 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\%}={552}.

Step 4: In the same vein, {x\%}={254}.

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

{100\%}={552}(1).

{x\%}={254}(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{552}{254}

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

\frac{x\%}{100\%}=\frac{254}{552}

\Rightarrow{x} = {46.01\%}

Therefore, {254} is {46.01\%} of {552}.

#### Solution for 552 is what percent of 254:

552:254*100 =

(552*100):254 =

55200:254 = 217.32

Now we have: 552 is what percent of 254 = 217.32

Question: 552 is what percent of 254?

Percentage solution with steps:

Step 1: We make the assumption that 254 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\%}={254}.

Step 4: In the same vein, {x\%}={552}.

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

{100\%}={254}(1).

{x\%}={552}(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{254}{552}

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

\frac{x\%}{100\%}=\frac{552}{254}

\Rightarrow{x} = {217.32\%}

Therefore, {552} is {217.32\%} of {254}.

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