#### Solution for 72 is what percent of 1300:

72:1300*100 =

(72*100):1300 =

7200:1300 = 5.54

Now we have: 72 is what percent of 1300 = 5.54

Question: 72 is what percent of 1300?

Percentage solution with steps:

Step 1: We make the assumption that 1300 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\%}={1300}.

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

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

{100\%}={1300}(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{1300}{72}

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

\frac{x\%}{100\%}=\frac{72}{1300}

\Rightarrow{x} = {5.54\%}

Therefore, {72} is {5.54\%} of {1300}.

#### Solution for 1300 is what percent of 72:

1300:72*100 =

(1300*100):72 =

130000:72 = 1805.56

Now we have: 1300 is what percent of 72 = 1805.56

Question: 1300 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\%}={1300}.

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

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

{x\%}={1300}(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}{1300}

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

\frac{x\%}{100\%}=\frac{1300}{72}

\Rightarrow{x} = {1805.56\%}

Therefore, {1300} is {1805.56\%} of {72}.

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