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Solution for 225 is what percent of 46:

225:46*100 =

(225*100):46 =

22500:46 = 489.13

Now we have: 225 is what percent of 46 = 489.13

Question: 225 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\%}={225}.

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

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

{x\%}={225}(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}{225}

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

\frac{x\%}{100\%}=\frac{225}{46}

\Rightarrow{x} = {489.13\%}

Therefore, {225} is {489.13\%} of {46}.

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Solution for 46 is what percent of 225:

46:225*100 =

(46*100):225 =

4600:225 = 20.44

Now we have: 46 is what percent of 225 = 20.44

Question: 46 is what percent of 225?

Percentage solution with steps:

Step 1: We make the assumption that 225 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\%}={225}.

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

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

{100\%}={225}(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{225}{46}

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

\frac{x\%}{100\%}=\frac{46}{225}

\Rightarrow{x} = {20.44\%}

Therefore, {46} is {20.44\%} of {225}.