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Solution for 96 is what percent of 78:

96:78*100 =

(96*100):78 =

9600:78 = 123.08

Now we have: 96 is what percent of 78 = 123.08

Question: 96 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\%}={96}.

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

{100\%}={78}(1).

{x\%}={96}(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}{96}

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

\frac{x\%}{100\%}=\frac{96}{78}

\Rightarrow{x} = {123.08\%}

Therefore, {96} is {123.08\%} of {78}.

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Solution for 78 is what percent of 96:

78:96*100 =

(78*100):96 =

7800:96 = 81.25

Now we have: 78 is what percent of 96 = 81.25

Question: 78 is what percent of 96?

Percentage solution with steps:

Step 1: We make the assumption that 96 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\%}={96}.

Step 4: In the same vein, {x\%}={78}.

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

{100\%}={96}(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{96}{78}

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

\frac{x\%}{100\%}=\frac{78}{96}

\Rightarrow{x} = {81.25\%}

Therefore, {78} is {81.25\%} of {96}.