#### Solution for 84 is what percent of 728:

84:728*100 =

(84*100):728 =

8400:728 = 11.54

Now we have: 84 is what percent of 728 = 11.54

Question: 84 is what percent of 728?

Percentage solution with steps:

Step 1: We make the assumption that 728 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\%}={728}.

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

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

{100\%}={728}(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{728}{84}

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

\frac{x\%}{100\%}=\frac{84}{728}

\Rightarrow{x} = {11.54\%}

Therefore, {84} is {11.54\%} of {728}.

#### Solution for 728 is what percent of 84:

728:84*100 =

(728*100):84 =

72800:84 = 866.67

Now we have: 728 is what percent of 84 = 866.67

Question: 728 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\%}={728}.

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

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

{x\%}={728}(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}{728}

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

\frac{x\%}{100\%}=\frac{728}{84}

\Rightarrow{x} = {866.67\%}

Therefore, {728} is {866.67\%} of {84}.

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