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Solution for 500 is what percent of 225:

500:225*100 =

(500*100):225 =

50000:225 = 222.22

Now we have: 500 is what percent of 225 = 222.22

Question: 500 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\%}={500}.

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

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

{x\%}={500}(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}{500}

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

\frac{x\%}{100\%}=\frac{500}{225}

\Rightarrow{x} = {222.22\%}

Therefore, {500} is {222.22\%} of {225}.

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Solution for 225 is what percent of 500:

225:500*100 =

(225*100):500 =

22500:500 = 45

Now we have: 225 is what percent of 500 = 45

Question: 225 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={500}.

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

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

{100\%}={500}(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{500}{225}

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

\frac{x\%}{100\%}=\frac{225}{500}

\Rightarrow{x} = {45\%}

Therefore, {225} is {45\%} of {500}.