#### Solution for 2.56 is what percent of 256:

2.56:256*100 =

(2.56*100):256 =

256:256 = 1

Now we have: 2.56 is what percent of 256 = 1

Question: 2.56 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\%}={2.56}.

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

{100\%}={256}(1).

{x\%}={2.56}(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}{2.56}

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

\frac{x\%}{100\%}=\frac{2.56}{256}

\Rightarrow{x} = {1\%}

Therefore, {2.56} is {1\%} of {256}.

#### Solution for 256 is what percent of 2.56:

256:2.56*100 =

(256*100):2.56 =

25600:2.56 = 10000

Now we have: 256 is what percent of 2.56 = 10000

Question: 256 is what percent of 2.56?

Percentage solution with steps:

Step 1: We make the assumption that 2.56 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\%}={2.56}.

Step 4: In the same vein, {x\%}={256}.

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

{100\%}={2.56}(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{2.56}{256}

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

\frac{x\%}{100\%}=\frac{256}{2.56}

\Rightarrow{x} = {10000\%}

Therefore, {256} is {10000\%} of {2.56}.

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