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Solution for 46 is what percent of 200:

46:200*100 =

(46*100):200 =

4600:200 = 23

Now we have: 46 is what percent of 200 = 23

Question: 46 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\%}={46}.

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

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

{x\%}={46}(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}{46}

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

\frac{x\%}{100\%}=\frac{46}{200}

\Rightarrow{x} = {23\%}

Therefore, {46} is {23\%} of {200}.

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• 46 is what percent of 23 = 200
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• 46 is what percent of 52 = 88.46
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Solution for 200 is what percent of 46:

200:46*100 =

(200*100):46 =

20000:46 = 434.78

Now we have: 200 is what percent of 46 = 434.78

Question: 200 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

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

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

{100\%}={46}(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{46}{200}

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

\frac{x\%}{100\%}=\frac{200}{46}

\Rightarrow{x} = {434.78\%}

Therefore, {200} is {434.78\%} of {46}.