#### Solution for 13.5 is what percent of 17.5:

13.5:17.5*100 =

(13.5*100):17.5 =

1350:17.5 = 77.142857142857

Now we have: 13.5 is what percent of 17.5 = 77.142857142857

Question: 13.5 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\%}={13.5}.

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

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

{x\%}={13.5}(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}{13.5}

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

\frac{x\%}{100\%}=\frac{13.5}{17.5}

\Rightarrow{x} = {77.142857142857\%}

Therefore, {13.5} is {77.142857142857\%} of {17.5}.

#### Solution for 17.5 is what percent of 13.5:

17.5:13.5*100 =

(17.5*100):13.5 =

1750:13.5 = 129.62962962963

Now we have: 17.5 is what percent of 13.5 = 129.62962962963

Question: 17.5 is what percent of 13.5?

Percentage solution with steps:

Step 1: We make the assumption that 13.5 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\%}={13.5}.

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

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

{100\%}={13.5}(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{13.5}{17.5}

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

\frac{x\%}{100\%}=\frac{17.5}{13.5}

\Rightarrow{x} = {129.62962962963\%}

Therefore, {17.5} is {129.62962962963\%} of {13.5}.

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