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Solution for 255 is what percent of 85:

255:85*100 =

(255*100):85 =

25500:85 = 300

Now we have: 255 is what percent of 85 = 300

Question: 255 is what percent of 85?

Percentage solution with steps:

Step 1: We make the assumption that 85 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\%}={85}.

Step 4: In the same vein, {x\%}={255}.

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

{100\%}={85}(1).

{x\%}={255}(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{85}{255}

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

\frac{x\%}{100\%}=\frac{255}{85}

\Rightarrow{x} = {300\%}

Therefore, {255} is {300\%} of {85}.

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Solution for 85 is what percent of 255:

85:255*100 =

(85*100):255 =

8500:255 = 33.33

Now we have: 85 is what percent of 255 = 33.33

Question: 85 is what percent of 255?

Percentage solution with steps:

Step 1: We make the assumption that 255 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\%}={255}.

Step 4: In the same vein, {x\%}={85}.

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

{100\%}={255}(1).

{x\%}={85}(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{255}{85}

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

\frac{x\%}{100\%}=\frac{85}{255}

\Rightarrow{x} = {33.33\%}

Therefore, {85} is {33.33\%} of {255}.