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Solution for 72 is what percent of 40:

72:40*100 =

(72*100):40 =

7200:40 = 180

Now we have: 72 is what percent of 40 = 180

Question: 72 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\%}={72}.

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

{100\%}={40}(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{40}{72}

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

\frac{x\%}{100\%}=\frac{72}{40}

\Rightarrow{x} = {180\%}

Therefore, {72} is {180\%} of {40}.

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Solution for 40 is what percent of 72:

40:72*100 =

(40*100):72 =

4000:72 = 55.56

Now we have: 40 is what percent of 72 = 55.56

Question: 40 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\%}={40}.

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

{100\%}={72}(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{72}{40}

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

\frac{x\%}{100\%}=\frac{40}{72}

\Rightarrow{x} = {55.56\%}

Therefore, {40} is {55.56\%} of {72}.