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Solution for 200 is what percent of 55:

200:55*100 =

(200*100):55 =

20000:55 = 363.64

Now we have: 200 is what percent of 55 = 363.64

Question: 200 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

Step 4: In the same vein, {x\%}={200}.

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

{100\%}={55}(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{55}{200}

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

\frac{x\%}{100\%}=\frac{200}{55}

\Rightarrow{x} = {363.64\%}

Therefore, {200} is {363.64\%} of {55}.

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Solution for 55 is what percent of 200:

55:200*100 =

(55*100):200 =

5500:200 = 27.5

Now we have: 55 is what percent of 200 = 27.5

Question: 55 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\%}={55}.

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

{100\%}={200}(1).

{x\%}={55}(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}{55}

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

\frac{x\%}{100\%}=\frac{55}{200}

\Rightarrow{x} = {27.5\%}

Therefore, {55} is {27.5\%} of {200}.