#### Solution for 88 is what percent of 96:

88:96*100 =

(88*100):96 =

8800:96 = 91.67

Now we have: 88 is what percent of 96 = 91.67

Question: 88 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\%}={88}.

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

{100\%}={96}(1).

{x\%}={88}(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}{88}

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

\frac{x\%}{100\%}=\frac{88}{96}

\Rightarrow{x} = {91.67\%}

Therefore, {88} is {91.67\%} of {96}.

#### Solution for 96 is what percent of 88:

96:88*100 =

(96*100):88 =

9600:88 = 109.09

Now we have: 96 is what percent of 88 = 109.09

Question: 96 is what percent of 88?

Percentage solution with steps:

Step 1: We make the assumption that 88 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\%}={88}.

Step 4: In the same vein, {x\%}={96}.

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

{100\%}={88}(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{88}{96}

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

\frac{x\%}{100\%}=\frac{96}{88}

\Rightarrow{x} = {109.09\%}

Therefore, {96} is {109.09\%} of {88}.

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