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Solution for 72.5 is what percent of 82:

72.5:82*100 =

(72.5*100):82 =

7250:82 = 88.414634146341

Now we have: 72.5 is what percent of 82 = 88.414634146341

Question: 72.5 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\%}={72.5}.

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

{100\%}={82}(1).

{x\%}={72.5}(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}{72.5}

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

\frac{x\%}{100\%}=\frac{72.5}{82}

\Rightarrow{x} = {88.414634146341\%}

Therefore, {72.5} is {88.414634146341\%} of {82}.

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• 72.5 is what percent of 100 = 72.5

Solution for 82 is what percent of 72.5:

82:72.5*100 =

(82*100):72.5 =

8200:72.5 = 113.10344827586

Now we have: 82 is what percent of 72.5 = 113.10344827586

Question: 82 is what percent of 72.5?

Percentage solution with steps:

Step 1: We make the assumption that 72.5 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\%}={72.5}.

Step 4: In the same vein, {x\%}={82}.

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

{100\%}={72.5}(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{72.5}{82}

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

\frac{x\%}{100\%}=\frac{82}{72.5}

\Rightarrow{x} = {113.10344827586\%}

Therefore, {82} is {113.10344827586\%} of {72.5}.