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Solution for 106 is what percent of 38:

106:38*100 =

(106*100):38 =

10600:38 = 278.95

Now we have: 106 is what percent of 38 = 278.95

Question: 106 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\%}={106}.

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

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

{x\%}={106}(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}{106}

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

\frac{x\%}{100\%}=\frac{106}{38}

\Rightarrow{x} = {278.95\%}

Therefore, {106} is {278.95\%} of {38}.

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Solution for 38 is what percent of 106:

38:106*100 =

(38*100):106 =

3800:106 = 35.85

Now we have: 38 is what percent of 106 = 35.85

Question: 38 is what percent of 106?

Percentage solution with steps:

Step 1: We make the assumption that 106 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\%}={106}.

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

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

{100\%}={106}(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{106}{38}

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

\frac{x\%}{100\%}=\frac{38}{106}

\Rightarrow{x} = {35.85\%}

Therefore, {38} is {35.85\%} of {106}.