#### Solution for 115 is what percent of 255:

115:255*100 =

(115*100):255 =

11500:255 = 45.1

Now we have: 115 is what percent of 255 = 45.1

Question: 115 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\%}={115}.

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

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

{x\%}={115}(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}{115}

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

\frac{x\%}{100\%}=\frac{115}{255}

\Rightarrow{x} = {45.1\%}

Therefore, {115} is {45.1\%} of {255}.

#### Solution for 255 is what percent of 115:

255:115*100 =

(255*100):115 =

25500:115 = 221.74

Now we have: 255 is what percent of 115 = 221.74

Question: 255 is what percent of 115?

Percentage solution with steps:

Step 1: We make the assumption that 115 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\%}={115}.

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

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

{100\%}={115}(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{115}{255}

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

\frac{x\%}{100\%}=\frac{255}{115}

\Rightarrow{x} = {221.74\%}

Therefore, {255} is {221.74\%} of {115}.

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