#### Solution for 4 is what percent of 442:

4:442*100 =

(4*100):442 =

400:442 = 0.9

Now we have: 4 is what percent of 442 = 0.9

Question: 4 is what percent of 442?

Percentage solution with steps:

Step 1: We make the assumption that 442 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\%}={442}.

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

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

{100\%}={442}(1).

{x\%}={4}(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{442}{4}

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

\frac{x\%}{100\%}=\frac{4}{442}

\Rightarrow{x} = {0.9\%}

Therefore, {4} is {0.9\%} of {442}.

#### Solution for 442 is what percent of 4:

442:4*100 =

(442*100):4 =

44200:4 = 11050

Now we have: 442 is what percent of 4 = 11050

Question: 442 is what percent of 4?

Percentage solution with steps:

Step 1: We make the assumption that 4 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}.

Step 4: In the same vein, {x\%}={442}.

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

{100\%}={4}(1).

{x\%}={442}(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}{442}

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

\frac{x\%}{100\%}=\frac{442}{4}

\Rightarrow{x} = {11050\%}

Therefore, {442} is {11050\%} of {4}.

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