#### Solution for 46 is what percent of 201:

46:201*100 =

(46*100):201 =

4600:201 = 22.89

Now we have: 46 is what percent of 201 = 22.89

Question: 46 is what percent of 201?

Percentage solution with steps:

Step 1: We make the assumption that 201 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\%}={201}.

Step 4: In the same vein, {x\%}={46}.

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

{100\%}={201}(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{201}{46}

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

\frac{x\%}{100\%}=\frac{46}{201}

\Rightarrow{x} = {22.89\%}

Therefore, {46} is {22.89\%} of {201}.

#### Solution for 201 is what percent of 46:

201:46*100 =

(201*100):46 =

20100:46 = 436.96

Now we have: 201 is what percent of 46 = 436.96

Question: 201 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\%}={201}.

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

{100\%}={46}(1).

{x\%}={201}(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}{201}

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

\frac{x\%}{100\%}=\frac{201}{46}

\Rightarrow{x} = {436.96\%}

Therefore, {201} is {436.96\%} of {46}.

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