#### Solution for 17 is what percent of 22.5:

17:22.5*100 =

(17*100):22.5 =

1700:22.5 = 75.555555555556

Now we have: 17 is what percent of 22.5 = 75.555555555556

Question: 17 is what percent of 22.5?

Percentage solution with steps:

Step 1: We make the assumption that 22.5 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\%}={22.5}.

Step 4: In the same vein, {x\%}={17}.

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

{100\%}={22.5}(1).

{x\%}={17}(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{22.5}{17}

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

\frac{x\%}{100\%}=\frac{17}{22.5}

\Rightarrow{x} = {75.555555555556\%}

Therefore, {17} is {75.555555555556\%} of {22.5}.

#### Solution for 22.5 is what percent of 17:

22.5:17*100 =

(22.5*100):17 =

2250:17 = 132.35294117647

Now we have: 22.5 is what percent of 17 = 132.35294117647

Question: 22.5 is what percent of 17?

Percentage solution with steps:

Step 1: We make the assumption that 17 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}.

Step 4: In the same vein, {x\%}={22.5}.

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

{100\%}={17}(1).

{x\%}={22.5}(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}{22.5}

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

\frac{x\%}{100\%}=\frac{22.5}{17}

\Rightarrow{x} = {132.35294117647\%}

Therefore, {22.5} is {132.35294117647\%} of {17}.

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