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Solution for 380 is what percent of 49:

380:49*100 =

(380*100):49 =

38000:49 = 775.51

Now we have: 380 is what percent of 49 = 775.51

Question: 380 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\%}={380}.

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

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

{x\%}={380}(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}{380}

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

\frac{x\%}{100\%}=\frac{380}{49}

\Rightarrow{x} = {775.51\%}

Therefore, {380} is {775.51\%} of {49}.

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Solution for 49 is what percent of 380:

49:380*100 =

(49*100):380 =

4900:380 = 12.89

Now we have: 49 is what percent of 380 = 12.89

Question: 49 is what percent of 380?

Percentage solution with steps:

Step 1: We make the assumption that 380 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\%}={380}.

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

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

{100\%}={380}(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{380}{49}

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

\frac{x\%}{100\%}=\frac{49}{380}

\Rightarrow{x} = {12.89\%}

Therefore, {49} is {12.89\%} of {380}.