#### Solution for 78 is what percent of 691:

78:691*100 =

(78*100):691 =

7800:691 = 11.29

Now we have: 78 is what percent of 691 = 11.29

Question: 78 is what percent of 691?

Percentage solution with steps:

Step 1: We make the assumption that 691 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\%}={691}.

Step 4: In the same vein, {x\%}={78}.

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

{100\%}={691}(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{691}{78}

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

\frac{x\%}{100\%}=\frac{78}{691}

\Rightarrow{x} = {11.29\%}

Therefore, {78} is {11.29\%} of {691}.

#### Solution for 691 is what percent of 78:

691:78*100 =

(691*100):78 =

69100:78 = 885.9

Now we have: 691 is what percent of 78 = 885.9

Question: 691 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\%}={691}.

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

{100\%}={78}(1).

{x\%}={691}(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}{691}

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

\frac{x\%}{100\%}=\frac{691}{78}

\Rightarrow{x} = {885.9\%}

Therefore, {691} is {885.9\%} of {78}.

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