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Solution for 216 is what percent of 800:

216:800*100 =

(216*100):800 =

21600:800 = 27

Now we have: 216 is what percent of 800 = 27

Question: 216 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\%}={216}.

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

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

{x\%}={216}(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}{216}

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

\frac{x\%}{100\%}=\frac{216}{800}

\Rightarrow{x} = {27\%}

Therefore, {216} is {27\%} of {800}.

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Solution for 800 is what percent of 216:

800:216*100 =

(800*100):216 =

80000:216 = 370.37

Now we have: 800 is what percent of 216 = 370.37

Question: 800 is what percent of 216?

Percentage solution with steps:

Step 1: We make the assumption that 216 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\%}={216}.

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

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

{100\%}={216}(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{216}{800}

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

\frac{x\%}{100\%}=\frac{800}{216}

\Rightarrow{x} = {370.37\%}

Therefore, {800} is {370.37\%} of {216}.