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Solution for 38 is what percent of 77:

38:77*100 =

( 38*100):77 =

3800:77 = 49.35

Now we have: 38 is what percent of 77 = 49.35

Question: 38 is what percent of 77?

Percentage solution with steps:

Step 1: We make the assumption that 77 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\%}={77}.

Step 4: In the same vein, {x\%}={ 38}.

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

{100\%}={77}(1).

{x\%}={ 38}(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{77}{ 38}

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

\frac{x\%}{100\%}=\frac{ 38}{77}

\Rightarrow{x} = {49.35\%}

Therefore, { 38} is {49.35\%} of {77}.

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Solution for 77 is what percent of 38:

77: 38*100 =

(77*100): 38 =

7700: 38 = 202.63

Now we have: 77 is what percent of 38 = 202.63

Question: 77 is what percent of 38?

Percentage solution with steps:

Step 1: We make the assumption that 38 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\%}={ 38}.

Step 4: In the same vein, {x\%}={77}.

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

{100\%}={ 38}(1).

{x\%}={77}(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{ 38}{77}

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

\frac{x\%}{100\%}=\frac{77}{ 38}

\Rightarrow{x} = {202.63\%}

Therefore, {77} is {202.63\%} of { 38}.