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Solution for 17.5 is what percent of 38.5:

17.5:38.5*100 =

(17.5*100):38.5 =

1750:38.5 = 45.454545454545

Now we have: 17.5 is what percent of 38.5 = 45.454545454545

Question: 17.5 is what percent of 38.5?

Percentage solution with steps:

Step 1: We make the assumption that 38.5 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\%}={38.5}.

Step 4: In the same vein, {x\%}={17.5}.

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

{100\%}={38.5}(1).

{x\%}={17.5}(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{38.5}{17.5}

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

\frac{x\%}{100\%}=\frac{17.5}{38.5}

\Rightarrow{x} = {45.454545454545\%}

Therefore, {17.5} is {45.454545454545\%} of {38.5}.

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Solution for 38.5 is what percent of 17.5:

38.5:17.5*100 =

(38.5*100):17.5 =

3850:17.5 = 220

Now we have: 38.5 is what percent of 17.5 = 220

Question: 38.5 is what percent of 17.5?

Percentage solution with steps:

Step 1: We make the assumption that 17.5 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\%}={17.5}.

Step 4: In the same vein, {x\%}={38.5}.

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

{100\%}={17.5}(1).

{x\%}={38.5}(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{17.5}{38.5}

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

\frac{x\%}{100\%}=\frac{38.5}{17.5}

\Rightarrow{x} = {220\%}

Therefore, {38.5} is {220\%} of {17.5}.