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Solution for 96 is what percent of 90:

96:90*100 =

(96*100):90 =

9600:90 = 106.67

Now we have: 96 is what percent of 90 = 106.67

Question: 96 is what percent of 90?

Percentage solution with steps:

Step 1: We make the assumption that 90 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\%}={90}.

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

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

{100\%}={90}(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{90}{96}

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

\frac{x\%}{100\%}=\frac{96}{90}

\Rightarrow{x} = {106.67\%}

Therefore, {96} is {106.67\%} of {90}.

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• 96 is what percent of 31 = 309.68
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Solution for 90 is what percent of 96:

90:96*100 =

(90*100):96 =

9000:96 = 93.75

Now we have: 90 is what percent of 96 = 93.75

Question: 90 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\%}={90}.

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

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

{x\%}={90}(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}{90}

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

\frac{x\%}{100\%}=\frac{90}{96}

\Rightarrow{x} = {93.75\%}

Therefore, {90} is {93.75\%} of {96}.