#### Solution for 1750 is what percent of 5500:

1750:5500*100 =

(1750*100):5500 =

175000:5500 = 31.82

Now we have: 1750 is what percent of 5500 = 31.82

Question: 1750 is what percent of 5500?

Percentage solution with steps:

Step 1: We make the assumption that 5500 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\%}={5500}.

Step 4: In the same vein, {x\%}={1750}.

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

{100\%}={5500}(1).

{x\%}={1750}(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{5500}{1750}

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

\frac{x\%}{100\%}=\frac{1750}{5500}

\Rightarrow{x} = {31.82\%}

Therefore, {1750} is {31.82\%} of {5500}.

#### Solution for 5500 is what percent of 1750:

5500:1750*100 =

(5500*100):1750 =

550000:1750 = 314.29

Now we have: 5500 is what percent of 1750 = 314.29

Question: 5500 is what percent of 1750?

Percentage solution with steps:

Step 1: We make the assumption that 1750 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\%}={1750}.

Step 4: In the same vein, {x\%}={5500}.

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

{100\%}={1750}(1).

{x\%}={5500}(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{1750}{5500}

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

\frac{x\%}{100\%}=\frac{5500}{1750}

\Rightarrow{x} = {314.29\%}

Therefore, {5500} is {314.29\%} of {1750}.

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