#### Solution for 7 is what percent of 24.5:

7:24.5*100 =

(7*100):24.5 =

700:24.5 = 28.571428571429

Now we have: 7 is what percent of 24.5 = 28.571428571429

Question: 7 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\%}={7}.

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

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

{x\%}={7}(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}{7}

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

\frac{x\%}{100\%}=\frac{7}{24.5}

\Rightarrow{x} = {28.571428571429\%}

Therefore, {7} is {28.571428571429\%} of {24.5}.

#### Solution for 24.5 is what percent of 7:

24.5:7*100 =

(24.5*100):7 =

2450:7 = 350

Now we have: 24.5 is what percent of 7 = 350

Question: 24.5 is what percent of 7?

Percentage solution with steps:

Step 1: We make the assumption that 7 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\%}={7}.

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

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

{100\%}={7}(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{7}{24.5}

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

\frac{x\%}{100\%}=\frac{24.5}{7}

\Rightarrow{x} = {350\%}

Therefore, {24.5} is {350\%} of {7}.

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