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Solution for 2.09 is what percent of 38:

2.09:38*100 =

(2.09*100):38 =

209:38 = 5.5

Now we have: 2.09 is what percent of 38 = 5.5

Question: 2.09 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\%}={2.09}.

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

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

{x\%}={2.09}(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}{2.09}

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

\frac{x\%}{100\%}=\frac{2.09}{38}

\Rightarrow{x} = {5.5\%}

Therefore, {2.09} is {5.5\%} of {38}.

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• 2.09 is what percent of 100 = 2.09

Solution for 38 is what percent of 2.09:

38:2.09*100 =

(38*100):2.09 =

3800:2.09 = 1818.1818181818

Now we have: 38 is what percent of 2.09 = 1818.1818181818

Question: 38 is what percent of 2.09?

Percentage solution with steps:

Step 1: We make the assumption that 2.09 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\%}={2.09}.

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

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

{100\%}={2.09}(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{2.09}{38}

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

\frac{x\%}{100\%}=\frac{38}{2.09}

\Rightarrow{x} = {1818.1818181818\%}

Therefore, {38} is {1818.1818181818\%} of {2.09}.