#### Solution for 648 is what percent of 800:

648:800*100 =

(648*100):800 =

64800:800 = 81

Now we have: 648 is what percent of 800 = 81

Question: 648 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\%}={648}.

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

{100\%}={800}(1).

{x\%}={648}(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}{648}

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

\frac{x\%}{100\%}=\frac{648}{800}

\Rightarrow{x} = {81\%}

Therefore, {648} is {81\%} of {800}.

#### Solution for 800 is what percent of 648:

800:648*100 =

(800*100):648 =

80000:648 = 123.46

Now we have: 800 is what percent of 648 = 123.46

Question: 800 is what percent of 648?

Percentage solution with steps:

Step 1: We make the assumption that 648 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\%}={648}.

Step 4: In the same vein, {x\%}={800}.

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

{100\%}={648}(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{648}{800}

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

\frac{x\%}{100\%}=\frac{800}{648}

\Rightarrow{x} = {123.46\%}

Therefore, {800} is {123.46\%} of {648}.

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