#### Solution for 506 is what percent of 600:

506:600*100 =

(506*100):600 =

50600:600 = 84.33

Now we have: 506 is what percent of 600 = 84.33

Question: 506 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\%}={506}.

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

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

{x\%}={506}(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}{506}

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

\frac{x\%}{100\%}=\frac{506}{600}

\Rightarrow{x} = {84.33\%}

Therefore, {506} is {84.33\%} of {600}.

#### Solution for 600 is what percent of 506:

600:506*100 =

(600*100):506 =

60000:506 = 118.58

Now we have: 600 is what percent of 506 = 118.58

Question: 600 is what percent of 506?

Percentage solution with steps:

Step 1: We make the assumption that 506 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\%}={506}.

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

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

{100\%}={506}(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{506}{600}

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

\frac{x\%}{100\%}=\frac{600}{506}

\Rightarrow{x} = {118.58\%}

Therefore, {600} is {118.58\%} of {506}.

Calculation Samples