#### Solution for 523 is what percent of 3900:

523:3900*100 =

(523*100):3900 =

52300:3900 = 13.41

Now we have: 523 is what percent of 3900 = 13.41

Question: 523 is what percent of 3900?

Percentage solution with steps:

Step 1: We make the assumption that 3900 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\%}={3900}.

Step 4: In the same vein, {x\%}={523}.

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

{100\%}={3900}(1).

{x\%}={523}(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{3900}{523}

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

\frac{x\%}{100\%}=\frac{523}{3900}

\Rightarrow{x} = {13.41\%}

Therefore, {523} is {13.41\%} of {3900}.

#### Solution for 3900 is what percent of 523:

3900:523*100 =

(3900*100):523 =

390000:523 = 745.7

Now we have: 3900 is what percent of 523 = 745.7

Question: 3900 is what percent of 523?

Percentage solution with steps:

Step 1: We make the assumption that 523 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\%}={523}.

Step 4: In the same vein, {x\%}={3900}.

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

{100\%}={523}(1).

{x\%}={3900}(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{523}{3900}

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

\frac{x\%}{100\%}=\frac{3900}{523}

\Rightarrow{x} = {745.7\%}

Therefore, {3900} is {745.7\%} of {523}.

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