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Solution for 90 is what percent of 82:

90:82*100 =

(90*100):82 =

9000:82 = 109.76

Now we have: 90 is what percent of 82 = 109.76

Question: 90 is what percent of 82?

Percentage solution with steps:

Step 1: We make the assumption that 82 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\%}={82}.

Step 4: In the same vein, {x\%}={90}.

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

{100\%}={82}(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{82}{90}

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

\frac{x\%}{100\%}=\frac{90}{82}

\Rightarrow{x} = {109.76\%}

Therefore, {90} is {109.76\%} of {82}.

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• 90 is what percent of 31 = 290.32
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Solution for 82 is what percent of 90:

82:90*100 =

(82*100):90 =

8200:90 = 91.11

Now we have: 82 is what percent of 90 = 91.11

Question: 82 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\%}={82}.

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

{100\%}={90}(1).

{x\%}={82}(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}{82}

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

\frac{x\%}{100\%}=\frac{82}{90}

\Rightarrow{x} = {91.11\%}

Therefore, {82} is {91.11\%} of {90}.