#### Solution for 5800 is what percent of 480:

5800:480*100 =

(5800*100):480 =

580000:480 = 1208.33

Now we have: 5800 is what percent of 480 = 1208.33

Question: 5800 is what percent of 480?

Percentage solution with steps:

Step 1: We make the assumption that 480 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\%}={480}.

Step 4: In the same vein, {x\%}={5800}.

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

{100\%}={480}(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{480}{5800}

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

\frac{x\%}{100\%}=\frac{5800}{480}

\Rightarrow{x} = {1208.33\%}

Therefore, {5800} is {1208.33\%} of {480}.

#### Solution for 480 is what percent of 5800:

480:5800*100 =

(480*100):5800 =

48000:5800 = 8.28

Now we have: 480 is what percent of 5800 = 8.28

Question: 480 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\%}={480}.

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

{100\%}={5800}(1).

{x\%}={480}(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}{480}

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

\frac{x\%}{100\%}=\frac{480}{5800}

\Rightarrow{x} = {8.28\%}

Therefore, {480} is {8.28\%} of {5800}.

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