#### Solution for 78 is what percent of 728:

78:728*100 =

(78*100):728 =

7800:728 = 10.71

Now we have: 78 is what percent of 728 = 10.71

Question: 78 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\%}={78}.

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

{100\%}={728}(1).

{x\%}={78}(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}{78}

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

\frac{x\%}{100\%}=\frac{78}{728}

\Rightarrow{x} = {10.71\%}

Therefore, {78} is {10.71\%} of {728}.

#### Solution for 728 is what percent of 78:

728:78*100 =

(728*100):78 =

72800:78 = 933.33

Now we have: 728 is what percent of 78 = 933.33

Question: 728 is what percent of 78?

Percentage solution with steps:

Step 1: We make the assumption that 78 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\%}={78}.

Step 4: In the same vein, {x\%}={728}.

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

{100\%}={78}(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{78}{728}

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

\frac{x\%}{100\%}=\frac{728}{78}

\Rightarrow{x} = {933.33\%}

Therefore, {728} is {933.33\%} of {78}.

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