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Solution for 446 is what percent of 42:

446:42*100 =

(446*100):42 =

44600:42 = 1061.9

Now we have: 446 is what percent of 42 = 1061.9

Question: 446 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\%}={446}.

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

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

{x\%}={446}(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}{446}

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

\frac{x\%}{100\%}=\frac{446}{42}

\Rightarrow{x} = {1061.9\%}

Therefore, {446} is {1061.9\%} of {42}.

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Solution for 42 is what percent of 446:

42:446*100 =

(42*100):446 =

4200:446 = 9.42

Now we have: 42 is what percent of 446 = 9.42

Question: 42 is what percent of 446?

Percentage solution with steps:

Step 1: We make the assumption that 446 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\%}={446}.

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

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

{100\%}={446}(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{446}{42}

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

\frac{x\%}{100\%}=\frac{42}{446}

\Rightarrow{x} = {9.42\%}

Therefore, {42} is {9.42\%} of {446}.