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Solution for 256 is what percent of 55:

256:55*100 =

(256*100):55 =

25600:55 = 465.45

Now we have: 256 is what percent of 55 = 465.45

Question: 256 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\%}={256}.

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

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

{x\%}={256}(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}{256}

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

\frac{x\%}{100\%}=\frac{256}{55}

\Rightarrow{x} = {465.45\%}

Therefore, {256} is {465.45\%} of {55}.

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Solution for 55 is what percent of 256:

55:256*100 =

(55*100):256 =

5500:256 = 21.48

Now we have: 55 is what percent of 256 = 21.48

Question: 55 is what percent of 256?

Percentage solution with steps:

Step 1: We make the assumption that 256 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\%}={256}.

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

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

{100\%}={256}(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{256}{55}

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

\frac{x\%}{100\%}=\frac{55}{256}

\Rightarrow{x} = {21.48\%}

Therefore, {55} is {21.48\%} of {256}.