#### Solution for 84 is what percent of 242:

84:242*100 =

(84*100):242 =

8400:242 = 34.71

Now we have: 84 is what percent of 242 = 34.71

Question: 84 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\%}={84}.

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

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

{x\%}={84}(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}{84}

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

\frac{x\%}{100\%}=\frac{84}{242}

\Rightarrow{x} = {34.71\%}

Therefore, {84} is {34.71\%} of {242}.

#### Solution for 242 is what percent of 84:

242:84*100 =

(242*100):84 =

24200:84 = 288.1

Now we have: 242 is what percent of 84 = 288.1

Question: 242 is what percent of 84?

Percentage solution with steps:

Step 1: We make the assumption that 84 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\%}={84}.

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

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

{100\%}={84}(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{84}{242}

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

\frac{x\%}{100\%}=\frac{242}{84}

\Rightarrow{x} = {288.1\%}

Therefore, {242} is {288.1\%} of {84}.

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