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Solution for 37.5 is what percent of 82:

37.5:82*100 =

(37.5*100):82 =

3750:82 = 45.731707317073

Now we have: 37.5 is what percent of 82 = 45.731707317073

Question: 37.5 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\%}={37.5}.

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

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

{x\%}={37.5}(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}{37.5}

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

\frac{x\%}{100\%}=\frac{37.5}{82}

\Rightarrow{x} = {45.731707317073\%}

Therefore, {37.5} is {45.731707317073\%} of {82}.

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Solution for 82 is what percent of 37.5:

82:37.5*100 =

(82*100):37.5 =

8200:37.5 = 218.66666666667

Now we have: 82 is what percent of 37.5 = 218.66666666667

Question: 82 is what percent of 37.5?

Percentage solution with steps:

Step 1: We make the assumption that 37.5 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\%}={37.5}.

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

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

{100\%}={37.5}(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{37.5}{82}

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

\frac{x\%}{100\%}=\frac{82}{37.5}

\Rightarrow{x} = {218.66666666667\%}

Therefore, {82} is {218.66666666667\%} of {37.5}.