#### Solution for 49 is what percent of 262:

49:262*100 =

(49*100):262 =

4900:262 = 18.7

Now we have: 49 is what percent of 262 = 18.7

Question: 49 is what percent of 262?

Percentage solution with steps:

Step 1: We make the assumption that 262 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\%}={262}.

Step 4: In the same vein, {x\%}={49}.

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

{100\%}={262}(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{262}{49}

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

\frac{x\%}{100\%}=\frac{49}{262}

\Rightarrow{x} = {18.7\%}

Therefore, {49} is {18.7\%} of {262}.

#### Solution for 262 is what percent of 49:

262:49*100 =

(262*100):49 =

26200:49 = 534.69

Now we have: 262 is what percent of 49 = 534.69

Question: 262 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\%}={262}.

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

{100\%}={49}(1).

{x\%}={262}(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}{262}

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

\frac{x\%}{100\%}=\frac{262}{49}

\Rightarrow{x} = {534.69\%}

Therefore, {262} is {534.69\%} of {49}.

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