#### Solution for 225 is what percent of 501:

225:501*100 =

(225*100):501 =

22500:501 = 44.91

Now we have: 225 is what percent of 501 = 44.91

Question: 225 is what percent of 501?

Percentage solution with steps:

Step 1: We make the assumption that 501 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\%}={501}.

Step 4: In the same vein, {x\%}={225}.

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

{100\%}={501}(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{501}{225}

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

\frac{x\%}{100\%}=\frac{225}{501}

\Rightarrow{x} = {44.91\%}

Therefore, {225} is {44.91\%} of {501}.

#### Solution for 501 is what percent of 225:

501:225*100 =

(501*100):225 =

50100:225 = 222.67

Now we have: 501 is what percent of 225 = 222.67

Question: 501 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\%}={501}.

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

{100\%}={225}(1).

{x\%}={501}(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}{501}

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

\frac{x\%}{100\%}=\frac{501}{225}

\Rightarrow{x} = {222.67\%}

Therefore, {501} is {222.67\%} of {225}.

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