#### Solution for 800 is what percent of 1550:

800:1550*100 =

(800*100):1550 =

80000:1550 = 51.61

Now we have: 800 is what percent of 1550 = 51.61

Question: 800 is what percent of 1550?

Percentage solution with steps:

Step 1: We make the assumption that 1550 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\%}={1550}.

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

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

{100\%}={1550}(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{1550}{800}

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

\frac{x\%}{100\%}=\frac{800}{1550}

\Rightarrow{x} = {51.61\%}

Therefore, {800} is {51.61\%} of {1550}.

#### Solution for 1550 is what percent of 800:

1550:800*100 =

(1550*100):800 =

155000:800 = 193.75

Now we have: 1550 is what percent of 800 = 193.75

Question: 1550 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\%}={1550}.

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

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

{x\%}={1550}(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}{1550}

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

\frac{x\%}{100\%}=\frac{1550}{800}

\Rightarrow{x} = {193.75\%}

Therefore, {1550} is {193.75\%} of {800}.

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