#### Solution for 84 is what percent of 284:

84:284*100 =

(84*100):284 =

8400:284 = 29.58

Now we have: 84 is what percent of 284 = 29.58

Question: 84 is what percent of 284?

Percentage solution with steps:

Step 1: We make the assumption that 284 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\%}={284}.

Step 4: In the same vein, {x\%}={84}.

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

{100\%}={284}(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{284}{84}

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

\frac{x\%}{100\%}=\frac{84}{284}

\Rightarrow{x} = {29.58\%}

Therefore, {84} is {29.58\%} of {284}.

#### Solution for 284 is what percent of 84:

284:84*100 =

(284*100):84 =

28400:84 = 338.1

Now we have: 284 is what percent of 84 = 338.1

Question: 284 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\%}={284}.

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

{100\%}={84}(1).

{x\%}={284}(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}{284}

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

\frac{x\%}{100\%}=\frac{284}{84}

\Rightarrow{x} = {338.1\%}

Therefore, {284} is {338.1\%} of {84}.

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