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Solution for 13 is what percent of 72:

13:72*100 =

(13*100):72 =

1300:72 = 18.06

Now we have: 13 is what percent of 72 = 18.06

Question: 13 is what percent of 72?

Percentage solution with steps:

Step 1: We make the assumption that 72 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\%}={72}.

Step 4: In the same vein, {x\%}={13}.

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

{100\%}={72}(1).

{x\%}={13}(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{72}{13}

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

\frac{x\%}{100\%}=\frac{13}{72}

\Rightarrow{x} = {18.06\%}

Therefore, {13} is {18.06\%} of {72}.

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Solution for 72 is what percent of 13:

72:13*100 =

(72*100):13 =

7200:13 = 553.85

Now we have: 72 is what percent of 13 = 553.85

Question: 72 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 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\%}={13}.

Step 4: In the same vein, {x\%}={72}.

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

{100\%}={13}(1).

{x\%}={72}(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{13}{72}

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

\frac{x\%}{100\%}=\frac{72}{13}

\Rightarrow{x} = {553.85\%}

Therefore, {72} is {553.85\%} of {13}.