#### Solution for 73 is what percent of 102:

73:102*100 =

(73*100):102 =

7300:102 = 71.57

Now we have: 73 is what percent of 102 = 71.57

Question: 73 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\%}={73}.

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

{100\%}={102}(1).

{x\%}={73}(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}{73}

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

\frac{x\%}{100\%}=\frac{73}{102}

\Rightarrow{x} = {71.57\%}

Therefore, {73} is {71.57\%} of {102}.

#### Solution for 102 is what percent of 73:

102:73*100 =

(102*100):73 =

10200:73 = 139.73

Now we have: 102 is what percent of 73 = 139.73

Question: 102 is what percent of 73?

Percentage solution with steps:

Step 1: We make the assumption that 73 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\%}={73}.

Step 4: In the same vein, {x\%}={102}.

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

{100\%}={73}(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{73}{102}

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

\frac{x\%}{100\%}=\frac{102}{73}

\Rightarrow{x} = {139.73\%}

Therefore, {102} is {139.73\%} of {73}.

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