#### Solution for 9 is what percent of 42:

9:42*100 =

( 9*100):42 =

900:42 = 21.43

Now we have: 9 is what percent of 42 = 21.43

Question: 9 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 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\%}={42}.

Step 4: In the same vein, {x\%}={ 9}.

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

{100\%}={42}(1).

{x\%}={ 9}(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{42}{ 9}

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

\frac{x\%}{100\%}=\frac{ 9}{42}

\Rightarrow{x} = {21.43\%}

Therefore, { 9} is {21.43\%} of {42}.

#### Solution for 42 is what percent of 9:

42: 9*100 =

(42*100): 9 =

4200: 9 = 466.67

Now we have: 42 is what percent of 9 = 466.67

Question: 42 is what percent of 9?

Percentage solution with steps:

Step 1: We make the assumption that 9 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\%}={ 9}.

Step 4: In the same vein, {x\%}={42}.

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

{100\%}={ 9}(1).

{x\%}={42}(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{ 9}{42}

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

\frac{x\%}{100\%}=\frac{42}{ 9}

\Rightarrow{x} = {466.67\%}

Therefore, {42} is {466.67\%} of { 9}.

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