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Solution for 102 is what percent of 27:

102:27*100 =

(102*100):27 =

10200:27 = 377.78

Now we have: 102 is what percent of 27 = 377.78

Question: 102 is what percent of 27?

Percentage solution with steps:

Step 1: We make the assumption that 27 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\%}={27}.

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

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

{100\%}={27}(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{27}{102}

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

\frac{x\%}{100\%}=\frac{102}{27}

\Rightarrow{x} = {377.78\%}

Therefore, {102} is {377.78\%} of {27}.

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Solution for 27 is what percent of 102:

27:102*100 =

(27*100):102 =

2700:102 = 26.47

Now we have: 27 is what percent of 102 = 26.47

Question: 27 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\%}={27}.

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

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

{x\%}={27}(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}{27}

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

\frac{x\%}{100\%}=\frac{27}{102}

\Rightarrow{x} = {26.47\%}

Therefore, {27} is {26.47\%} of {102}.