#### Solution for 523.33 is what percent of 40:

523.33:40*100 =

(523.33*100):40 =

52333:40 = 1308.325

Now we have: 523.33 is what percent of 40 = 1308.325

Question: 523.33 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={523.33}.

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

{100\%}={40}(1).

{x\%}={523.33}(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{40}{523.33}

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

\frac{x\%}{100\%}=\frac{523.33}{40}

\Rightarrow{x} = {1308.325\%}

Therefore, {523.33} is {1308.325\%} of {40}.

#### Solution for 40 is what percent of 523.33:

40:523.33*100 =

(40*100):523.33 =

4000:523.33 = 7.6433607857375

Now we have: 40 is what percent of 523.33 = 7.6433607857375

Question: 40 is what percent of 523.33?

Percentage solution with steps:

Step 1: We make the assumption that 523.33 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\%}={523.33}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={523.33}(1).

{x\%}={40}(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{523.33}{40}

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

\frac{x\%}{100\%}=\frac{40}{523.33}

\Rightarrow{x} = {7.6433607857375\%}

Therefore, {40} is {7.6433607857375\%} of {523.33}.

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