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Solution for 255 is what percent of 49:

255:49*100 =

(255*100):49 =

25500:49 = 520.41

Now we have: 255 is what percent of 49 = 520.41

Question: 255 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

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

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

{100\%}={49}(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{49}{255}

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

\frac{x\%}{100\%}=\frac{255}{49}

\Rightarrow{x} = {520.41\%}

Therefore, {255} is {520.41\%} of {49}.

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Solution for 49 is what percent of 255:

49:255*100 =

(49*100):255 =

4900:255 = 19.22

Now we have: 49 is what percent of 255 = 19.22

Question: 49 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\%}={49}.

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

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

{x\%}={49}(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}{49}

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

\frac{x\%}{100\%}=\frac{49}{255}

\Rightarrow{x} = {19.22\%}

Therefore, {49} is {19.22\%} of {255}.