#### Solution for 226 is what percent of 397:

226:397*100 =

(226*100):397 =

22600:397 = 56.93

Now we have: 226 is what percent of 397 = 56.93

Question: 226 is what percent of 397?

Percentage solution with steps:

Step 1: We make the assumption that 397 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\%}={397}.

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

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

{100\%}={397}(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{397}{226}

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

\frac{x\%}{100\%}=\frac{226}{397}

\Rightarrow{x} = {56.93\%}

Therefore, {226} is {56.93\%} of {397}.

#### Solution for 397 is what percent of 226:

397:226*100 =

(397*100):226 =

39700:226 = 175.66

Now we have: 397 is what percent of 226 = 175.66

Question: 397 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\%}={397}.

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

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

{x\%}={397}(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}{397}

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

\frac{x\%}{100\%}=\frac{397}{226}

\Rightarrow{x} = {175.66\%}

Therefore, {397} is {175.66\%} of {226}.

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