#### Solution for 61 is what percent of 65:

61:65*100 =

(61*100):65 =

6100:65 = 93.85

Now we have: 61 is what percent of 65 = 93.85

Question: 61 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\%}={61}.

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

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

{x\%}={61}(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}{61}

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

\frac{x\%}{100\%}=\frac{61}{65}

\Rightarrow{x} = {93.85\%}

Therefore, {61} is {93.85\%} of {65}.

#### Solution for 65 is what percent of 61:

65:61*100 =

(65*100):61 =

6500:61 = 106.56

Now we have: 65 is what percent of 61 = 106.56

Question: 65 is what percent of 61?

Percentage solution with steps:

Step 1: We make the assumption that 61 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\%}={61}.

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

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

{100\%}={61}(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{61}{65}

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

\frac{x\%}{100\%}=\frac{65}{61}

\Rightarrow{x} = {106.56\%}

Therefore, {65} is {106.56\%} of {61}.

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