#### Solution for 292 is what percent of 600:

292:600*100 =

(292*100):600 =

29200:600 = 48.67

Now we have: 292 is what percent of 600 = 48.67

Question: 292 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\%}={292}.

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

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

{x\%}={292}(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}{292}

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

\frac{x\%}{100\%}=\frac{292}{600}

\Rightarrow{x} = {48.67\%}

Therefore, {292} is {48.67\%} of {600}.

#### Solution for 600 is what percent of 292:

600:292*100 =

(600*100):292 =

60000:292 = 205.48

Now we have: 600 is what percent of 292 = 205.48

Question: 600 is what percent of 292?

Percentage solution with steps:

Step 1: We make the assumption that 292 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\%}={292}.

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

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

{100\%}={292}(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{292}{600}

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

\frac{x\%}{100\%}=\frac{600}{292}

\Rightarrow{x} = {205.48\%}

Therefore, {600} is {205.48\%} of {292}.

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