#### Solution for 6.5 is what percent of 13:

6.5: 13*100 =

(6.5*100): 13 =

650: 13 = 50

Now we have: 6.5 is what percent of 13 = 50

Question: 6.5 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 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\%}={ 13}.

Step 4: In the same vein, {x\%}={6.5}.

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

{100\%}={ 13}(1).

{x\%}={6.5}(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{ 13}{6.5}

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

\frac{x\%}{100\%}=\frac{6.5}{ 13}

\Rightarrow{x} = {50\%}

Therefore, {6.5} is {50\%} of { 13}.

#### Solution for 13 is what percent of 6.5:

13:6.5*100 =

( 13*100):6.5 =

1300:6.5 = 200

Now we have: 13 is what percent of 6.5 = 200

Question: 13 is what percent of 6.5?

Percentage solution with steps:

Step 1: We make the assumption that 6.5 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\%}={6.5}.

Step 4: In the same vein, {x\%}={ 13}.

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

{100\%}={6.5}(1).

{x\%}={ 13}(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{6.5}{ 13}

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

\frac{x\%}{100\%}=\frac{ 13}{6.5}

\Rightarrow{x} = {200\%}

Therefore, { 13} is {200\%} of {6.5}.

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