#### Solution for 207.5 is what percent of 255:

207.5:255*100 =

(207.5*100):255 =

20750:255 = 81.372549019608

Now we have: 207.5 is what percent of 255 = 81.372549019608

Question: 207.5 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\%}={207.5}.

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

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

{x\%}={207.5}(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}{207.5}

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

\frac{x\%}{100\%}=\frac{207.5}{255}

\Rightarrow{x} = {81.372549019608\%}

Therefore, {207.5} is {81.372549019608\%} of {255}.

#### Solution for 255 is what percent of 207.5:

255:207.5*100 =

(255*100):207.5 =

25500:207.5 = 122.89156626506

Now we have: 255 is what percent of 207.5 = 122.89156626506

Question: 255 is what percent of 207.5?

Percentage solution with steps:

Step 1: We make the assumption that 207.5 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\%}={207.5}.

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

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

{100\%}={207.5}(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{207.5}{255}

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

\frac{x\%}{100\%}=\frac{255}{207.5}

\Rightarrow{x} = {122.89156626506\%}

Therefore, {255} is {122.89156626506\%} of {207.5}.

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