#### Solution for 90 is what percent of 256:

90:256*100 =

(90*100):256 =

9000:256 = 35.16

Now we have: 90 is what percent of 256 = 35.16

Question: 90 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\%}={90}.

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

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

{x\%}={90}(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}{90}

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

\frac{x\%}{100\%}=\frac{90}{256}

\Rightarrow{x} = {35.16\%}

Therefore, {90} is {35.16\%} of {256}.

#### Solution for 256 is what percent of 90:

256:90*100 =

(256*100):90 =

25600:90 = 284.44

Now we have: 256 is what percent of 90 = 284.44

Question: 256 is what percent of 90?

Percentage solution with steps:

Step 1: We make the assumption that 90 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\%}={90}.

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

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

{100\%}={90}(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{90}{256}

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

\frac{x\%}{100\%}=\frac{256}{90}

\Rightarrow{x} = {284.44\%}

Therefore, {256} is {284.44\%} of {90}.

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