#### Solution for 39.5 is what percent of 45:

39.5:45*100 =

(39.5*100):45 =

3950:45 = 87.777777777778

Now we have: 39.5 is what percent of 45 = 87.777777777778

Question: 39.5 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

Step 4: In the same vein, {x\%}={39.5}.

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

{100\%}={45}(1).

{x\%}={39.5}(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{45}{39.5}

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

\frac{x\%}{100\%}=\frac{39.5}{45}

\Rightarrow{x} = {87.777777777778\%}

Therefore, {39.5} is {87.777777777778\%} of {45}.

#### Solution for 45 is what percent of 39.5:

45:39.5*100 =

(45*100):39.5 =

4500:39.5 = 113.92405063291

Now we have: 45 is what percent of 39.5 = 113.92405063291

Question: 45 is what percent of 39.5?

Percentage solution with steps:

Step 1: We make the assumption that 39.5 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\%}={39.5}.

Step 4: In the same vein, {x\%}={45}.

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

{100\%}={39.5}(1).

{x\%}={45}(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{39.5}{45}

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

\frac{x\%}{100\%}=\frac{45}{39.5}

\Rightarrow{x} = {113.92405063291\%}

Therefore, {45} is {113.92405063291\%} of {39.5}.

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