#### Solution for 6.4 is what percent of 256:

6.4:256*100 =

(6.4*100):256 =

640:256 = 2.5

Now we have: 6.4 is what percent of 256 = 2.5

Question: 6.4 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\%}={6.4}.

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

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

{x\%}={6.4}(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}{6.4}

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

\frac{x\%}{100\%}=\frac{6.4}{256}

\Rightarrow{x} = {2.5\%}

Therefore, {6.4} is {2.5\%} of {256}.

#### Solution for 256 is what percent of 6.4:

256:6.4*100 =

(256*100):6.4 =

25600:6.4 = 4000

Now we have: 256 is what percent of 6.4 = 4000

Question: 256 is what percent of 6.4?

Percentage solution with steps:

Step 1: We make the assumption that 6.4 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\%}={6.4}.

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

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

{100\%}={6.4}(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{6.4}{256}

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

\frac{x\%}{100\%}=\frac{256}{6.4}

\Rightarrow{x} = {4000\%}

Therefore, {256} is {4000\%} of {6.4}.

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