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Solution for 102 is what percent of 78:

102:78*100 =

(102*100):78 =

10200:78 = 130.77

Now we have: 102 is what percent of 78 = 130.77

Question: 102 is what percent of 78?

Percentage solution with steps:

Step 1: We make the assumption that 78 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\%}={78}.

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

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

{100\%}={78}(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{78}{102}

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

\frac{x\%}{100\%}=\frac{102}{78}

\Rightarrow{x} = {130.77\%}

Therefore, {102} is {130.77\%} of {78}.

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Solution for 78 is what percent of 102:

78:102*100 =

(78*100):102 =

7800:102 = 76.47

Now we have: 78 is what percent of 102 = 76.47

Question: 78 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\%}={78}.

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

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

{x\%}={78}(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}{78}

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

\frac{x\%}{100\%}=\frac{78}{102}

\Rightarrow{x} = {76.47\%}

Therefore, {78} is {76.47\%} of {102}.