#### Solution for 486 is what percent of 552:

486:552*100 =

(486*100):552 =

48600:552 = 88.04

Now we have: 486 is what percent of 552 = 88.04

Question: 486 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\%}={486}.

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

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

{x\%}={486}(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}{486}

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

\frac{x\%}{100\%}=\frac{486}{552}

\Rightarrow{x} = {88.04\%}

Therefore, {486} is {88.04\%} of {552}.

#### Solution for 552 is what percent of 486:

552:486*100 =

(552*100):486 =

55200:486 = 113.58

Now we have: 552 is what percent of 486 = 113.58

Question: 552 is what percent of 486?

Percentage solution with steps:

Step 1: We make the assumption that 486 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\%}={486}.

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

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

{100\%}={486}(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{486}{552}

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

\frac{x\%}{100\%}=\frac{552}{486}

\Rightarrow{x} = {113.58\%}

Therefore, {552} is {113.58\%} of {486}.

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