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Solution for 242 is what percent of 37:

242:37*100 =

(242*100):37 =

24200:37 = 654.05

Now we have: 242 is what percent of 37 = 654.05

Question: 242 is what percent of 37?

Percentage solution with steps:

Step 1: We make the assumption that 37 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\%}={37}.

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

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

{100\%}={37}(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{37}{242}

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

\frac{x\%}{100\%}=\frac{242}{37}

\Rightarrow{x} = {654.05\%}

Therefore, {242} is {654.05\%} of {37}.

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Solution for 37 is what percent of 242:

37:242*100 =

(37*100):242 =

3700:242 = 15.29

Now we have: 37 is what percent of 242 = 15.29

Question: 37 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\%}={37}.

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

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

{x\%}={37}(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}{37}

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

\frac{x\%}{100\%}=\frac{37}{242}

\Rightarrow{x} = {15.29\%}

Therefore, {37} is {15.29\%} of {242}.