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Solution for 186 is what percent of 38:

186:38*100 =

(186*100):38 =

18600:38 = 489.47

Now we have: 186 is what percent of 38 = 489.47

Question: 186 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\%}={186}.

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

{100\%}={38}(1).

{x\%}={186}(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}{186}

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

\frac{x\%}{100\%}=\frac{186}{38}

\Rightarrow{x} = {489.47\%}

Therefore, {186} is {489.47\%} of {38}.

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Solution for 38 is what percent of 186:

38:186*100 =

(38*100):186 =

3800:186 = 20.43

Now we have: 38 is what percent of 186 = 20.43

Question: 38 is what percent of 186?

Percentage solution with steps:

Step 1: We make the assumption that 186 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\%}={186}.

Step 4: In the same vein, {x\%}={38}.

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

{100\%}={186}(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{186}{38}

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

\frac{x\%}{100\%}=\frac{38}{186}

\Rightarrow{x} = {20.43\%}

Therefore, {38} is {20.43\%} of {186}.