#### Solution for 20.5 is what percent of 24.5:

20.5:24.5*100 =

(20.5*100):24.5 =

2050:24.5 = 83.673469387755

Now we have: 20.5 is what percent of 24.5 = 83.673469387755

Question: 20.5 is what percent of 24.5?

Percentage solution with steps:

Step 1: We make the assumption that 24.5 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\%}={24.5}.

Step 4: In the same vein, {x\%}={20.5}.

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

{100\%}={24.5}(1).

{x\%}={20.5}(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{24.5}{20.5}

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

\frac{x\%}{100\%}=\frac{20.5}{24.5}

\Rightarrow{x} = {83.673469387755\%}

Therefore, {20.5} is {83.673469387755\%} of {24.5}.

#### Solution for 24.5 is what percent of 20.5:

24.5:20.5*100 =

(24.5*100):20.5 =

2450:20.5 = 119.51219512195

Now we have: 24.5 is what percent of 20.5 = 119.51219512195

Question: 24.5 is what percent of 20.5?

Percentage solution with steps:

Step 1: We make the assumption that 20.5 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\%}={20.5}.

Step 4: In the same vein, {x\%}={24.5}.

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

{100\%}={20.5}(1).

{x\%}={24.5}(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{20.5}{24.5}

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

\frac{x\%}{100\%}=\frac{24.5}{20.5}

\Rightarrow{x} = {119.51219512195\%}

Therefore, {24.5} is {119.51219512195\%} of {20.5}.

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