#### Solution for 4.2 is what percent of 9.0:

4.2:9.0*100 =

(4.2*100):9.0 =

420:9.0 = 46.666666666667

Now we have: 4.2 is what percent of 9.0 = 46.666666666667

Question: 4.2 is what percent of 9.0?

Percentage solution with steps:

Step 1: We make the assumption that 9.0 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\%}={9.0}.

Step 4: In the same vein, {x\%}={4.2}.

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

{100\%}={9.0}(1).

{x\%}={4.2}(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{9.0}{4.2}

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

\frac{x\%}{100\%}=\frac{4.2}{9.0}

\Rightarrow{x} = {46.666666666667\%}

Therefore, {4.2} is {46.666666666667\%} of {9.0}.

#### Solution for 9.0 is what percent of 4.2:

9.0:4.2*100 =

(9.0*100):4.2 =

900:4.2 = 214.28571428571

Now we have: 9.0 is what percent of 4.2 = 214.28571428571

Question: 9.0 is what percent of 4.2?

Percentage solution with steps:

Step 1: We make the assumption that 4.2 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\%}={4.2}.

Step 4: In the same vein, {x\%}={9.0}.

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

{100\%}={4.2}(1).

{x\%}={9.0}(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{4.2}{9.0}

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

\frac{x\%}{100\%}=\frac{9.0}{4.2}

\Rightarrow{x} = {214.28571428571\%}

Therefore, {9.0} is {214.28571428571\%} of {4.2}.

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