#### Solution for 17.6 is what percent of 45:

17.6:45*100 =

(17.6*100):45 =

1760:45 = 39.111111111111

Now we have: 17.6 is what percent of 45 = 39.111111111111

Question: 17.6 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\%}={17.6}.

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

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

{x\%}={17.6}(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}{17.6}

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

\frac{x\%}{100\%}=\frac{17.6}{45}

\Rightarrow{x} = {39.111111111111\%}

Therefore, {17.6} is {39.111111111111\%} of {45}.

#### Solution for 45 is what percent of 17.6:

45:17.6*100 =

(45*100):17.6 =

4500:17.6 = 255.68181818182

Now we have: 45 is what percent of 17.6 = 255.68181818182

Question: 45 is what percent of 17.6?

Percentage solution with steps:

Step 1: We make the assumption that 17.6 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\%}={17.6}.

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

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

{100\%}={17.6}(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{17.6}{45}

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

\frac{x\%}{100\%}=\frac{45}{17.6}

\Rightarrow{x} = {255.68181818182\%}

Therefore, {45} is {255.68181818182\%} of {17.6}.

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