#### Solution for 242 is what percent of 773:

242:773*100 =

(242*100):773 =

24200:773 = 31.31

Now we have: 242 is what percent of 773 = 31.31

Question: 242 is what percent of 773?

Percentage solution with steps:

Step 1: We make the assumption that 773 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\%}={773}.

Step 4: In the same vein, {x\%}={242}.

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

{100\%}={773}(1).

{x\%}={242}(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{773}{242}

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

\frac{x\%}{100\%}=\frac{242}{773}

\Rightarrow{x} = {31.31\%}

Therefore, {242} is {31.31\%} of {773}.

#### Solution for 773 is what percent of 242:

773:242*100 =

(773*100):242 =

77300:242 = 319.42

Now we have: 773 is what percent of 242 = 319.42

Question: 773 is what percent of 242?

Percentage solution with steps:

Step 1: We make the assumption that 242 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\%}={242}.

Step 4: In the same vein, {x\%}={773}.

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

{100\%}={242}(1).

{x\%}={773}(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{242}{773}

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

\frac{x\%}{100\%}=\frac{773}{242}

\Rightarrow{x} = {319.42\%}

Therefore, {773} is {319.42\%} of {242}.

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