#### Solution for 224 is what percent of 552:

224:552*100 =

(224*100):552 =

22400:552 = 40.58

Now we have: 224 is what percent of 552 = 40.58

Question: 224 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\%}={224}.

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

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

{x\%}={224}(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}{224}

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

\frac{x\%}{100\%}=\frac{224}{552}

\Rightarrow{x} = {40.58\%}

Therefore, {224} is {40.58\%} of {552}.

#### Solution for 552 is what percent of 224:

552:224*100 =

(552*100):224 =

55200:224 = 246.43

Now we have: 552 is what percent of 224 = 246.43

Question: 552 is what percent of 224?

Percentage solution with steps:

Step 1: We make the assumption that 224 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\%}={224}.

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

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

{100\%}={224}(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{224}{552}

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

\frac{x\%}{100\%}=\frac{552}{224}

\Rightarrow{x} = {246.43\%}

Therefore, {552} is {246.43\%} of {224}.

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