#### Solution for 72 is what percent of 102:

72:102*100 =

(72*100):102 =

7200:102 = 70.59

Now we have: 72 is what percent of 102 = 70.59

Question: 72 is what percent of 102?

Percentage solution with steps:

Step 1: We make the assumption that 102 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\%}={102}.

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

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

{100\%}={102}(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{102}{72}

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

\frac{x\%}{100\%}=\frac{72}{102}

\Rightarrow{x} = {70.59\%}

Therefore, {72} is {70.59\%} of {102}.

#### Solution for 102 is what percent of 72:

102:72*100 =

(102*100):72 =

10200:72 = 141.67

Now we have: 102 is what percent of 72 = 141.67

Question: 102 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\%}={102}.

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

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

{x\%}={102}(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}{102}

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

\frac{x\%}{100\%}=\frac{102}{72}

\Rightarrow{x} = {141.67\%}

Therefore, {102} is {141.67\%} of {72}.

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