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Solution for 200 is what percent of 38:

200:38*100 =

(200*100):38 =

20000:38 = 526.32

Now we have: 200 is what percent of 38 = 526.32

Question: 200 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\%}={200}.

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

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

{x\%}={200}(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}{200}

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

\frac{x\%}{100\%}=\frac{200}{38}

\Rightarrow{x} = {526.32\%}

Therefore, {200} is {526.32\%} of {38}.

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Solution for 38 is what percent of 200:

38:200*100 =

(38*100):200 =

3800:200 = 19

Now we have: 38 is what percent of 200 = 19

Question: 38 is what percent of 200?

Percentage solution with steps:

Step 1: We make the assumption that 200 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\%}={200}.

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

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

{100\%}={200}(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{200}{38}

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

\frac{x\%}{100\%}=\frac{38}{200}

\Rightarrow{x} = {19\%}

Therefore, {38} is {19\%} of {200}.