#### Solution for 10 is what percent of 256:

10:256*100 =

(10*100):256 =

1000:256 = 3.91

Now we have: 10 is what percent of 256 = 3.91

Question: 10 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\%}={10}.

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

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

{x\%}={10}(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}{10}

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

\frac{x\%}{100\%}=\frac{10}{256}

\Rightarrow{x} = {3.91\%}

Therefore, {10} is {3.91\%} of {256}.

#### Solution for 256 is what percent of 10:

256:10*100 =

(256*100):10 =

25600:10 = 2560

Now we have: 256 is what percent of 10 = 2560

Question: 256 is what percent of 10?

Percentage solution with steps:

Step 1: We make the assumption that 10 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\%}={10}.

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

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

{100\%}={10}(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{10}{256}

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

\frac{x\%}{100\%}=\frac{256}{10}

\Rightarrow{x} = {2560\%}

Therefore, {256} is {2560\%} of {10}.

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