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Solution for 200 is what percent of 226:

200:226*100 =

(200*100):226 =

20000:226 = 88.5

Now we have: 200 is what percent of 226 = 88.5

Question: 200 is what percent of 226?

Percentage solution with steps:

Step 1: We make the assumption that 226 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\%}={226}.

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

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

{100\%}={226}(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{226}{200}

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

\frac{x\%}{100\%}=\frac{200}{226}

\Rightarrow{x} = {88.5\%}

Therefore, {200} is {88.5\%} of {226}.

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Solution for 226 is what percent of 200:

226:200*100 =

(226*100):200 =

22600:200 = 113

Now we have: 226 is what percent of 200 = 113

Question: 226 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\%}={226}.

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

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

{x\%}={226}(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}{226}

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

\frac{x\%}{100\%}=\frac{226}{200}

\Rightarrow{x} = {113\%}

Therefore, {226} is {113\%} of {200}.