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Solution for 46 is what percent of 242:

46:242*100 =

(46*100):242 =

4600:242 = 19.01

Now we have: 46 is what percent of 242 = 19.01

Question: 46 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\%}={46}.

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

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

{x\%}={46}(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}{46}

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

\frac{x\%}{100\%}=\frac{46}{242}

\Rightarrow{x} = {19.01\%}

Therefore, {46} is {19.01\%} of {242}.

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Solution for 242 is what percent of 46:

242:46*100 =

(242*100):46 =

24200:46 = 526.09

Now we have: 242 is what percent of 46 = 526.09

Question: 242 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

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

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

{100\%}={46}(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{46}{242}

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

\frac{x\%}{100\%}=\frac{242}{46}

\Rightarrow{x} = {526.09\%}

Therefore, {242} is {526.09\%} of {46}.