#### Solution for 6 is what percent of 7:

6: 7*100 =

(6*100): 7 =

600: 7 = 85.71

Now we have: 6 is what percent of 7 = 85.71

Question: 6 is what percent of 7?

Percentage solution with steps:

Step 1: We make the assumption that 7 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\%}={ 7}.

Step 4: In the same vein, {x\%}={6}.

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

{100\%}={ 7}(1).

{x\%}={6}(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{ 7}{6}

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

\frac{x\%}{100\%}=\frac{6}{ 7}

\Rightarrow{x} = {85.71\%}

Therefore, {6} is {85.71\%} of { 7}.

#### Solution for 7 is what percent of 6:

7:6*100 =

( 7*100):6 =

700:6 = 116.67

Now we have: 7 is what percent of 6 = 116.67

Question: 7 is what percent of 6?

Percentage solution with steps:

Step 1: We make the assumption that 6 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}.

Step 4: In the same vein, {x\%}={ 7}.

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

{100\%}={6}(1).

{x\%}={ 7}(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}{ 7}

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

\frac{x\%}{100\%}=\frac{ 7}{6}

\Rightarrow{x} = {116.67\%}

Therefore, { 7} is {116.67\%} of {6}.

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