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Solution for 256 is what percent of 80:

256:80*100 =

(256*100):80 =

25600:80 = 320

Now we have: 256 is what percent of 80 = 320

Question: 256 is what percent of 80?

Percentage solution with steps:

Step 1: We make the assumption that 80 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\%}={80}.

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

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

{100\%}={80}(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{80}{256}

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

\frac{x\%}{100\%}=\frac{256}{80}

\Rightarrow{x} = {320\%}

Therefore, {256} is {320\%} of {80}.

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Solution for 80 is what percent of 256:

80:256*100 =

(80*100):256 =

8000:256 = 31.25

Now we have: 80 is what percent of 256 = 31.25

Question: 80 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\%}={80}.

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

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

{x\%}={80}(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}{80}

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

\frac{x\%}{100\%}=\frac{80}{256}

\Rightarrow{x} = {31.25\%}

Therefore, {80} is {31.25\%} of {256}.