#### Solution for 24 is what percent of 172:

24:172*100 =

(24*100):172 =

2400:172 = 13.95

Now we have: 24 is what percent of 172 = 13.95

Question: 24 is what percent of 172?

Percentage solution with steps:

Step 1: We make the assumption that 172 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\%}={172}.

Step 4: In the same vein, {x\%}={24}.

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

{100\%}={172}(1).

{x\%}={24}(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{172}{24}

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

\frac{x\%}{100\%}=\frac{24}{172}

\Rightarrow{x} = {13.95\%}

Therefore, {24} is {13.95\%} of {172}.

#### Solution for 172 is what percent of 24:

172:24*100 =

(172*100):24 =

17200:24 = 716.67

Now we have: 172 is what percent of 24 = 716.67

Question: 172 is what percent of 24?

Percentage solution with steps:

Step 1: We make the assumption that 24 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}.

Step 4: In the same vein, {x\%}={172}.

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

{100\%}={24}(1).

{x\%}={172}(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}{172}

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

\frac{x\%}{100\%}=\frac{172}{24}

\Rightarrow{x} = {716.67\%}

Therefore, {172} is {716.67\%} of {24}.

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