#### Solution for 407 is what percent of 442:

407:442*100 =

(407*100):442 =

40700:442 = 92.08

Now we have: 407 is what percent of 442 = 92.08

Question: 407 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\%}={407}.

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

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

{x\%}={407}(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}{407}

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

\frac{x\%}{100\%}=\frac{407}{442}

\Rightarrow{x} = {92.08\%}

Therefore, {407} is {92.08\%} of {442}.

#### Solution for 442 is what percent of 407:

442:407*100 =

(442*100):407 =

44200:407 = 108.6

Now we have: 442 is what percent of 407 = 108.6

Question: 442 is what percent of 407?

Percentage solution with steps:

Step 1: We make the assumption that 407 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\%}={407}.

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

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

{100\%}={407}(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{407}{442}

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

\frac{x\%}{100\%}=\frac{442}{407}

\Rightarrow{x} = {108.6\%}

Therefore, {442} is {108.6\%} of {407}.

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