#### Solution for 800 is what percent of 5400:

800:5400*100 =

(800*100):5400 =

80000:5400 = 14.81

Now we have: 800 is what percent of 5400 = 14.81

Question: 800 is what percent of 5400?

Percentage solution with steps:

Step 1: We make the assumption that 5400 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\%}={5400}.

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

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

{100\%}={5400}(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{5400}{800}

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

\frac{x\%}{100\%}=\frac{800}{5400}

\Rightarrow{x} = {14.81\%}

Therefore, {800} is {14.81\%} of {5400}.

#### Solution for 5400 is what percent of 800:

5400:800*100 =

(5400*100):800 =

540000:800 = 675

Now we have: 5400 is what percent of 800 = 675

Question: 5400 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\%}={5400}.

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

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

{x\%}={5400}(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}{5400}

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

\frac{x\%}{100\%}=\frac{5400}{800}

\Rightarrow{x} = {675\%}

Therefore, {5400} is {675\%} of {800}.

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