#### Solution for 5800 is what percent of 800:

5800:800*100 =

(5800*100):800 =

580000:800 = 725

Now we have: 5800 is what percent of 800 = 725

Question: 5800 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\%}={5800}.

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

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

{x\%}={5800}(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}{5800}

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

\frac{x\%}{100\%}=\frac{5800}{800}

\Rightarrow{x} = {725\%}

Therefore, {5800} is {725\%} of {800}.

#### Solution for 800 is what percent of 5800:

800:5800*100 =

(800*100):5800 =

80000:5800 = 13.79

Now we have: 800 is what percent of 5800 = 13.79

Question: 800 is what percent of 5800?

Percentage solution with steps:

Step 1: We make the assumption that 5800 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\%}={5800}.

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

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

{100\%}={5800}(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{5800}{800}

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

\frac{x\%}{100\%}=\frac{800}{5800}

\Rightarrow{x} = {13.79\%}

Therefore, {800} is {13.79\%} of {5800}.

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