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Solution for 40.2 is what percent of 49:

40.2:49*100 =

(40.2*100):49 =

4020:49 = 82.040816326531

Now we have: 40.2 is what percent of 49 = 82.040816326531

Question: 40.2 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\%}={40.2}.

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

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

{x\%}={40.2}(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}{40.2}

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

\frac{x\%}{100\%}=\frac{40.2}{49}

\Rightarrow{x} = {82.040816326531\%}

Therefore, {40.2} is {82.040816326531\%} of {49}.

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Solution for 49 is what percent of 40.2:

49:40.2*100 =

(49*100):40.2 =

4900:40.2 = 121.89054726368

Now we have: 49 is what percent of 40.2 = 121.89054726368

Question: 49 is what percent of 40.2?

Percentage solution with steps:

Step 1: We make the assumption that 40.2 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\%}={40.2}.

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

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

{100\%}={40.2}(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{40.2}{49}

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

\frac{x\%}{100\%}=\frac{49}{40.2}

\Rightarrow{x} = {121.89054726368\%}

Therefore, {49} is {121.89054726368\%} of {40.2}.