#### Solution for 600 is what percent of 406:

600:406*100 =

(600*100):406 =

60000:406 = 147.78

Now we have: 600 is what percent of 406 = 147.78

Question: 600 is what percent of 406?

Percentage solution with steps:

Step 1: We make the assumption that 406 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\%}={406}.

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

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

{100\%}={406}(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{406}{600}

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

\frac{x\%}{100\%}=\frac{600}{406}

\Rightarrow{x} = {147.78\%}

Therefore, {600} is {147.78\%} of {406}.

#### Solution for 406 is what percent of 600:

406:600*100 =

(406*100):600 =

40600:600 = 67.67

Now we have: 406 is what percent of 600 = 67.67

Question: 406 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\%}={406}.

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

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

{x\%}={406}(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}{406}

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

\frac{x\%}{100\%}=\frac{406}{600}

\Rightarrow{x} = {67.67\%}

Therefore, {406} is {67.67\%} of {600}.

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