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Solution for 223 is what percent of 52:

223:52*100 =

(223*100):52 =

22300:52 = 428.85

Now we have: 223 is what percent of 52 = 428.85

Question: 223 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\%}={223}.

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

{100\%}={52}(1).

{x\%}={223}(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}{223}

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

\frac{x\%}{100\%}=\frac{223}{52}

\Rightarrow{x} = {428.85\%}

Therefore, {223} is {428.85\%} of {52}.

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Solution for 52 is what percent of 223:

52:223*100 =

(52*100):223 =

5200:223 = 23.32

Now we have: 52 is what percent of 223 = 23.32

Question: 52 is what percent of 223?

Percentage solution with steps:

Step 1: We make the assumption that 223 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\%}={223}.

Step 4: In the same vein, {x\%}={52}.

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

{100\%}={223}(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{223}{52}

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

\frac{x\%}{100\%}=\frac{52}{223}

\Rightarrow{x} = {23.32\%}

Therefore, {52} is {23.32\%} of {223}.