#### Solution for 65 is what percent of 78.50:

65:78.50*100 =

(65*100):78.50 =

6500:78.50 = 82.802547770701

Now we have: 65 is what percent of 78.50 = 82.802547770701

Question: 65 is what percent of 78.50?

Percentage solution with steps:

Step 1: We make the assumption that 78.50 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\%}={78.50}.

Step 4: In the same vein, {x\%}={65}.

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

{100\%}={78.50}(1).

{x\%}={65}(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{78.50}{65}

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

\frac{x\%}{100\%}=\frac{65}{78.50}

\Rightarrow{x} = {82.802547770701\%}

Therefore, {65} is {82.802547770701\%} of {78.50}.

#### Solution for 78.50 is what percent of 65:

78.50:65*100 =

(78.50*100):65 =

7850:65 = 120.76923076923

Now we have: 78.50 is what percent of 65 = 120.76923076923

Question: 78.50 is what percent of 65?

Percentage solution with steps:

Step 1: We make the assumption that 65 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\%}={65}.

Step 4: In the same vein, {x\%}={78.50}.

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

{100\%}={65}(1).

{x\%}={78.50}(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{65}{78.50}

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

\frac{x\%}{100\%}=\frac{78.50}{65}

\Rightarrow{x} = {120.76923076923\%}

Therefore, {78.50} is {120.76923076923\%} of {65}.

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