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Solution for 25.00 is what percent of 52:

25.00:52*100 =

(25.00*100):52 =

2500:52 = 48.076923076923

Now we have: 25.00 is what percent of 52 = 48.076923076923

Question: 25.00 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\%}={25.00}.

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

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

{x\%}={25.00}(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}{25.00}

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

\frac{x\%}{100\%}=\frac{25.00}{52}

\Rightarrow{x} = {48.076923076923\%}

Therefore, {25.00} is {48.076923076923\%} of {52}.

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Solution for 52 is what percent of 25.00:

52:25.00*100 =

(52*100):25.00 =

5200:25.00 = 208

Now we have: 52 is what percent of 25.00 = 208

Question: 52 is what percent of 25.00?

Percentage solution with steps:

Step 1: We make the assumption that 25.00 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\%}={25.00}.

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

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

{100\%}={25.00}(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{25.00}{52}

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

\frac{x\%}{100\%}=\frac{52}{25.00}

\Rightarrow{x} = {208\%}

Therefore, {52} is {208\%} of {25.00}.