Solution for 538 is what percent of 500:

538:500*100 =

(538*100):500 =

53800:500 = 107.6

Now we have: 538 is what percent of 500 = 107.6

Question: 538 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={500}.

Step 4: In the same vein, {x\%}={538}.

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

{100\%}={500}(1).

{x\%}={538}(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{500}{538}

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

\frac{x\%}{100\%}=\frac{538}{500}

\Rightarrow{x} = {107.6\%}

Therefore, {538} is {107.6\%} of {500}.

Solution for 500 is what percent of 538:

500:538*100 =

(500*100):538 =

50000:538 = 92.94

Now we have: 500 is what percent of 538 = 92.94

Question: 500 is what percent of 538?

Percentage solution with steps:

Step 1: We make the assumption that 538 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\%}={538}.

Step 4: In the same vein, {x\%}={500}.

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

{100\%}={538}(1).

{x\%}={500}(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{538}{500}

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

\frac{x\%}{100\%}=\frac{500}{538}

\Rightarrow{x} = {92.94\%}

Therefore, {500} is {92.94\%} of {538}.