#### Solution for 226 is what percent of 450:

226:450*100 =

(226*100):450 =

22600:450 = 50.22

Now we have: 226 is what percent of 450 = 50.22

Question: 226 is what percent of 450?

Percentage solution with steps:

Step 1: We make the assumption that 450 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\%}={450}.

Step 4: In the same vein, {x\%}={226}.

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

{100\%}={450}(1).

{x\%}={226}(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{450}{226}

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

\frac{x\%}{100\%}=\frac{226}{450}

\Rightarrow{x} = {50.22\%}

Therefore, {226} is {50.22\%} of {450}.

#### Solution for 450 is what percent of 226:

450:226*100 =

(450*100):226 =

45000:226 = 199.12

Now we have: 450 is what percent of 226 = 199.12

Question: 450 is what percent of 226?

Percentage solution with steps:

Step 1: We make the assumption that 226 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\%}={226}.

Step 4: In the same vein, {x\%}={450}.

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

{100\%}={226}(1).

{x\%}={450}(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{226}{450}

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

\frac{x\%}{100\%}=\frac{450}{226}

\Rightarrow{x} = {199.12\%}

Therefore, {450} is {199.12\%} of {226}.

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