#### Solution for 228 is what percent of 600:

228:600*100 =

(228*100):600 =

22800:600 = 38

Now we have: 228 is what percent of 600 = 38

Question: 228 is what percent of 600?

Percentage solution with steps:

Step 1: We make the assumption that 600 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\%}={600}.

Step 4: In the same vein, {x\%}={228}.

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

{100\%}={600}(1).

{x\%}={228}(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{600}{228}

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

\frac{x\%}{100\%}=\frac{228}{600}

\Rightarrow{x} = {38\%}

Therefore, {228} is {38\%} of {600}.

#### Solution for 600 is what percent of 228:

600:228*100 =

(600*100):228 =

60000:228 = 263.16

Now we have: 600 is what percent of 228 = 263.16

Question: 600 is what percent of 228?

Percentage solution with steps:

Step 1: We make the assumption that 228 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\%}={228}.

Step 4: In the same vein, {x\%}={600}.

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

{100\%}={228}(1).

{x\%}={600}(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{228}{600}

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

\frac{x\%}{100\%}=\frac{600}{228}

\Rightarrow{x} = {263.16\%}

Therefore, {600} is {263.16\%} of {228}.

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