#### Solution for 49.09 is what percent of 50:

49.09:50*100 =

(49.09*100):50 =

4909:50 = 98.18

Now we have: 49.09 is what percent of 50 = 98.18

Question: 49.09 is what percent of 50?

Percentage solution with steps:

Step 1: We make the assumption that 50 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\%}={50}.

Step 4: In the same vein, {x\%}={49.09}.

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

{100\%}={50}(1).

{x\%}={49.09}(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{50}{49.09}

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

\frac{x\%}{100\%}=\frac{49.09}{50}

\Rightarrow{x} = {98.18\%}

Therefore, {49.09} is {98.18\%} of {50}.

#### Solution for 50 is what percent of 49.09:

50:49.09*100 =

(50*100):49.09 =

5000:49.09 = 101.85373803219

Now we have: 50 is what percent of 49.09 = 101.85373803219

Question: 50 is what percent of 49.09?

Percentage solution with steps:

Step 1: We make the assumption that 49.09 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\%}={49.09}.

Step 4: In the same vein, {x\%}={50}.

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

{100\%}={49.09}(1).

{x\%}={50}(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{49.09}{50}

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

\frac{x\%}{100\%}=\frac{50}{49.09}

\Rightarrow{x} = {101.85373803219\%}

Therefore, {50} is {101.85373803219\%} of {49.09}.

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