#### Solution for 5800 is what percent of 120:

5800:120*100 =

(5800*100):120 =

580000:120 = 4833.33

Now we have: 5800 is what percent of 120 = 4833.33

Question: 5800 is what percent of 120?

Percentage solution with steps:

Step 1: We make the assumption that 120 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\%}={120}.

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

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

{100\%}={120}(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{120}{5800}

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

\frac{x\%}{100\%}=\frac{5800}{120}

\Rightarrow{x} = {4833.33\%}

Therefore, {5800} is {4833.33\%} of {120}.

#### Solution for 120 is what percent of 5800:

120:5800*100 =

(120*100):5800 =

12000:5800 = 2.07

Now we have: 120 is what percent of 5800 = 2.07

Question: 120 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\%}={120}.

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

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

{x\%}={120}(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}{120}

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

\frac{x\%}{100\%}=\frac{120}{5800}

\Rightarrow{x} = {2.07\%}

Therefore, {120} is {2.07\%} of {5800}.

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