#### Solution for 102 is what percent of 150:

102:150*100 =

( 102*100):150 =

10200:150 = 68

Now we have: 102 is what percent of 150 = 68

Question: 102 is what percent of 150?

Percentage solution with steps:

Step 1: We make the assumption that 150 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\%}={150}.

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

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

{100\%}={150}(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{150}{ 102}

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

\frac{x\%}{100\%}=\frac{ 102}{150}

\Rightarrow{x} = {68\%}

Therefore, { 102} is {68\%} of {150}.

#### Solution for 150 is what percent of 102:

150: 102*100 =

(150*100): 102 =

15000: 102 = 147.06

Now we have: 150 is what percent of 102 = 147.06

Question: 150 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\%}={150}.

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

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

{x\%}={150}(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}{150}

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

\frac{x\%}{100\%}=\frac{150}{ 102}

\Rightarrow{x} = {147.06\%}

Therefore, {150} is {147.06\%} of { 102}.

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