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Solution for 102.5 is what percent of 41:

102.5:41*100 =

(102.5*100):41 =

10250:41 = 250

Now we have: 102.5 is what percent of 41 = 250

Question: 102.5 is what percent of 41?

Percentage solution with steps:

Step 1: We make the assumption that 41 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\%}={41}.

Step 4: In the same vein, {x\%}={102.5}.

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

{100\%}={41}(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{41}{102.5}

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

\frac{x\%}{100\%}=\frac{102.5}{41}

\Rightarrow{x} = {250\%}

Therefore, {102.5} is {250\%} of {41}.

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Solution for 41 is what percent of 102.5:

41:102.5*100 =

(41*100):102.5 =

4100:102.5 = 40

Now we have: 41 is what percent of 102.5 = 40

Question: 41 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\%}={41}.

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

{100\%}={102.5}(1).

{x\%}={41}(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}{41}

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

\frac{x\%}{100\%}=\frac{41}{102.5}

\Rightarrow{x} = {40\%}

Therefore, {41} is {40\%} of {102.5}.