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Solution for 446 is what percent of 52:

446:52*100 =

(446*100):52 =

44600:52 = 857.69

Now we have: 446 is what percent of 52 = 857.69

Question: 446 is what percent of 52?

Percentage solution with steps:

Step 1: We make the assumption that 52 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\%}={52}.

Step 4: In the same vein, {x\%}={446}.

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

{100\%}={52}(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{52}{446}

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

\frac{x\%}{100\%}=\frac{446}{52}

\Rightarrow{x} = {857.69\%}

Therefore, {446} is {857.69\%} of {52}.

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• 446 is what percent of 100 = 446

Solution for 52 is what percent of 446:

52:446*100 =

(52*100):446 =

5200:446 = 11.66

Now we have: 52 is what percent of 446 = 11.66

Question: 52 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\%}={52}.

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

{100\%}={446}(1).

{x\%}={52}(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}{52}

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

\frac{x\%}{100\%}=\frac{52}{446}

\Rightarrow{x} = {11.66\%}

Therefore, {52} is {11.66\%} of {446}.