#### Solution for 552 is what percent of 640:

552:640*100 =

(552*100):640 =

55200:640 = 86.25

Now we have: 552 is what percent of 640 = 86.25

Question: 552 is what percent of 640?

Percentage solution with steps:

Step 1: We make the assumption that 640 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\%}={640}.

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

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

{100\%}={640}(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{640}{552}

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

\frac{x\%}{100\%}=\frac{552}{640}

\Rightarrow{x} = {86.25\%}

Therefore, {552} is {86.25\%} of {640}.

#### Solution for 640 is what percent of 552:

640:552*100 =

(640*100):552 =

64000:552 = 115.94

Now we have: 640 is what percent of 552 = 115.94

Question: 640 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\%}={640}.

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

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

{x\%}={640}(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}{640}

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

\frac{x\%}{100\%}=\frac{640}{552}

\Rightarrow{x} = {115.94\%}

Therefore, {640} is {115.94\%} of {552}.

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