#### Solution for 203 is what percent of 225:

203:225*100 =

(203*100):225 =

20300:225 = 90.22

Now we have: 203 is what percent of 225 = 90.22

Question: 203 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\%}={203}.

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

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

{x\%}={203}(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}{203}

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

\frac{x\%}{100\%}=\frac{203}{225}

\Rightarrow{x} = {90.22\%}

Therefore, {203} is {90.22\%} of {225}.

#### Solution for 225 is what percent of 203:

225:203*100 =

(225*100):203 =

22500:203 = 110.84

Now we have: 225 is what percent of 203 = 110.84

Question: 225 is what percent of 203?

Percentage solution with steps:

Step 1: We make the assumption that 203 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\%}={203}.

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

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

{100\%}={203}(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{203}{225}

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

\frac{x\%}{100\%}=\frac{225}{203}

\Rightarrow{x} = {110.84\%}

Therefore, {225} is {110.84\%} of {203}.

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