#### Solution for 72 is what percent of 100:

72: 100*100 =

(72*100): 100 =

7200: 100 = 72

Now we have: 72 is what percent of 100 = 72

Question: 72 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={ 100}.

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

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

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

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

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

\Rightarrow{x} = {72\%}

Therefore, {72} is {72\%} of { 100}.

#### Solution for 100 is what percent of 72:

100:72*100 =

( 100*100):72 =

10000:72 = 138.89

Now we have: 100 is what percent of 72 = 138.89

Question: 100 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\%}={ 100}.

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

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

{x\%}={ 100}(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}{ 100}

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

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

\Rightarrow{x} = {138.89\%}

Therefore, { 100} is {138.89\%} of {72}.

Calculation Samples