#### Solution for 58 is what percent of 6:

58: 6*100 =

( 58*100): 6 =

5800: 6 = 966.67

Now we have: 58 is what percent of 6 = 966.67

Question: 58 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\%}={ 58}.

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

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

{x\%}={ 58}(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}{ 58}

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

\frac{x\%}{100\%}=\frac{ 58}{ 6}

\Rightarrow{x} = {966.67\%}

Therefore, { 58} is {966.67\%} of { 6}.

#### Solution for 6 is what percent of 58:

6: 58*100 =

( 6*100): 58 =

600: 58 = 10.34

Now we have: 6 is what percent of 58 = 10.34

Question: 6 is what percent of 58?

Percentage solution with steps:

Step 1: We make the assumption that 58 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\%}={ 58}.

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

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

{100\%}={ 58}(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{ 58}{ 6}

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

\frac{x\%}{100\%}=\frac{ 6}{ 58}

\Rightarrow{x} = {10.34\%}

Therefore, { 6} is {10.34\%} of { 58}.

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