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Solution for 512 is what percent of 55:

512:55*100 =

(512*100):55 =

51200:55 = 930.91

Now we have: 512 is what percent of 55 = 930.91

Question: 512 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

Step 4: In the same vein, {x\%}={512}.

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

{100\%}={55}(1).

{x\%}={512}(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{55}{512}

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

\frac{x\%}{100\%}=\frac{512}{55}

\Rightarrow{x} = {930.91\%}

Therefore, {512} is {930.91\%} of {55}.

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Solution for 55 is what percent of 512:

55:512*100 =

(55*100):512 =

5500:512 = 10.74

Now we have: 55 is what percent of 512 = 10.74

Question: 55 is what percent of 512?

Percentage solution with steps:

Step 1: We make the assumption that 512 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\%}={512}.

Step 4: In the same vein, {x\%}={55}.

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

{100\%}={512}(1).

{x\%}={55}(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{512}{55}

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

\frac{x\%}{100\%}=\frac{55}{512}

\Rightarrow{x} = {10.74\%}

Therefore, {55} is {10.74\%} of {512}.