#### Solution for 46.5 is what percent of 65:

46.5:65*100 =

(46.5*100):65 =

4650:65 = 71.538461538462

Now we have: 46.5 is what percent of 65 = 71.538461538462

Question: 46.5 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\%}={46.5}.

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

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

{x\%}={46.5}(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}{46.5}

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

\frac{x\%}{100\%}=\frac{46.5}{65}

\Rightarrow{x} = {71.538461538462\%}

Therefore, {46.5} is {71.538461538462\%} of {65}.

#### Solution for 65 is what percent of 46.5:

65:46.5*100 =

(65*100):46.5 =

6500:46.5 = 139.78494623656

Now we have: 65 is what percent of 46.5 = 139.78494623656

Question: 65 is what percent of 46.5?

Percentage solution with steps:

Step 1: We make the assumption that 46.5 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\%}={46.5}.

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

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

{100\%}={46.5}(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{46.5}{65}

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

\frac{x\%}{100\%}=\frac{65}{46.5}

\Rightarrow{x} = {139.78494623656\%}

Therefore, {65} is {139.78494623656\%} of {46.5}.

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