#### Solution for 233 is what percent of 200:

233:200*100 =

(233*100):200 =

23300:200 = 116.5

Now we have: 233 is what percent of 200 = 116.5

Question: 233 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\%}={233}.

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

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

{x\%}={233}(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}{233}

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

\frac{x\%}{100\%}=\frac{233}{200}

\Rightarrow{x} = {116.5\%}

Therefore, {233} is {116.5\%} of {200}.

#### Solution for 200 is what percent of 233:

200:233*100 =

(200*100):233 =

20000:233 = 85.84

Now we have: 200 is what percent of 233 = 85.84

Question: 200 is what percent of 233?

Percentage solution with steps:

Step 1: We make the assumption that 233 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\%}={233}.

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

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

{100\%}={233}(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{233}{200}

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

\frac{x\%}{100\%}=\frac{200}{233}

\Rightarrow{x} = {85.84\%}

Therefore, {200} is {85.84\%} of {233}.

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