#### Solution for 49 is what percent of 386:

49:386*100 =

(49*100):386 =

4900:386 = 12.69

Now we have: 49 is what percent of 386 = 12.69

Question: 49 is what percent of 386?

Percentage solution with steps:

Step 1: We make the assumption that 386 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\%}={386}.

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

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

{100\%}={386}(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{386}{49}

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

\frac{x\%}{100\%}=\frac{49}{386}

\Rightarrow{x} = {12.69\%}

Therefore, {49} is {12.69\%} of {386}.

#### Solution for 386 is what percent of 49:

386:49*100 =

(386*100):49 =

38600:49 = 787.76

Now we have: 386 is what percent of 49 = 787.76

Question: 386 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\%}={386}.

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

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

{x\%}={386}(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}{386}

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

\frac{x\%}{100\%}=\frac{386}{49}

\Rightarrow{x} = {787.76\%}

Therefore, {386} is {787.76\%} of {49}.

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