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Solution for 172 is what percent of 38:

172:38*100 =

(172*100):38 =

17200:38 = 452.63

Now we have: 172 is what percent of 38 = 452.63

Question: 172 is what percent of 38?

Percentage solution with steps:

Step 1: We make the assumption that 38 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\%}={38}.

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

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

{100\%}={38}(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{38}{172}

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

\frac{x\%}{100\%}=\frac{172}{38}

\Rightarrow{x} = {452.63\%}

Therefore, {172} is {452.63\%} of {38}.

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Solution for 38 is what percent of 172:

38:172*100 =

(38*100):172 =

3800:172 = 22.09

Now we have: 38 is what percent of 172 = 22.09

Question: 38 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\%}={38}.

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

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

{x\%}={38}(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}{38}

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

\frac{x\%}{100\%}=\frac{38}{172}

\Rightarrow{x} = {22.09\%}

Therefore, {38} is {22.09\%} of {172}.