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Solution for 102 is what percent of 38500:

102:38500*100 =

(102*100):38500 =

10200:38500 = 0.26

Now we have: 102 is what percent of 38500 = 0.26

Question: 102 is what percent of 38500?

Percentage solution with steps:

Step 1: We make the assumption that 38500 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\%}={38500}.

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

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

{100\%}={38500}(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{38500}{102}

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

\frac{x\%}{100\%}=\frac{102}{38500}

\Rightarrow{x} = {0.26\%}

Therefore, {102} is {0.26\%} of {38500}.

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Solution for 38500 is what percent of 102:

38500:102*100 =

(38500*100):102 =

3850000:102 = 37745.1

Now we have: 38500 is what percent of 102 = 37745.1

Question: 38500 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\%}={38500}.

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

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

{x\%}={38500}(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}{38500}

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

\frac{x\%}{100\%}=\frac{38500}{102}

\Rightarrow{x} = {37745.1\%}

Therefore, {38500} is {37745.1\%} of {102}.