#### Solution for 538 is what percent of 800:

538:800*100 =

(538*100):800 =

53800:800 = 67.25

Now we have: 538 is what percent of 800 = 67.25

Question: 538 is what percent of 800?

Percentage solution with steps:

Step 1: We make the assumption that 800 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\%}={800}.

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

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

{100\%}={800}(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{800}{538}

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

\frac{x\%}{100\%}=\frac{538}{800}

\Rightarrow{x} = {67.25\%}

Therefore, {538} is {67.25\%} of {800}.

#### Solution for 800 is what percent of 538:

800:538*100 =

(800*100):538 =

80000:538 = 148.7

Now we have: 800 is what percent of 538 = 148.7

Question: 800 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\%}={800}.

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

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

{x\%}={800}(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}{800}

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

\frac{x\%}{100\%}=\frac{800}{538}

\Rightarrow{x} = {148.7\%}

Therefore, {800} is {148.7\%} of {538}.

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