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Solution for 102.5 is what percent of 150:

102.5:150*100 =

(102.5*100):150 =

10250:150 = 68.333333333333

Now we have: 102.5 is what percent of 150 = 68.333333333333

Question: 102.5 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\%}={102.5}.

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

{100\%}={150}(1).

{x\%}={102.5}(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}{102.5}

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

\frac{x\%}{100\%}=\frac{102.5}{150}

\Rightarrow{x} = {68.333333333333\%}

Therefore, {102.5} is {68.333333333333\%} of {150}.

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• 102.5 is what percent of 100 = 102.5

Solution for 150 is what percent of 102.5:

150:102.5*100 =

(150*100):102.5 =

15000:102.5 = 146.34146341463

Now we have: 150 is what percent of 102.5 = 146.34146341463

Question: 150 is what percent of 102.5?

Percentage solution with steps:

Step 1: We make the assumption that 102.5 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\%}={102.5}.

Step 4: In the same vein, {x\%}={150}.

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

{100\%}={102.5}(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{102.5}{150}

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

\frac{x\%}{100\%}=\frac{150}{102.5}

\Rightarrow{x} = {146.34146341463\%}

Therefore, {150} is {146.34146341463\%} of {102.5}.