#### Solution for 58 is what percent of 2000:

58:2000*100 =

(58*100):2000 =

5800:2000 = 2.9

Now we have: 58 is what percent of 2000 = 2.9

Question: 58 is what percent of 2000?

Percentage solution with steps:

Step 1: We make the assumption that 2000 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\%}={2000}.

Step 4: In the same vein, {x\%}={58}.

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

{100\%}={2000}(1).

{x\%}={58}(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{2000}{58}

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

\frac{x\%}{100\%}=\frac{58}{2000}

\Rightarrow{x} = {2.9\%}

Therefore, {58} is {2.9\%} of {2000}.

#### Solution for 2000 is what percent of 58:

2000:58*100 =

(2000*100):58 =

200000:58 = 3448.28

Now we have: 2000 is what percent of 58 = 3448.28

Question: 2000 is what percent of 58?

Percentage solution with steps:

Step 1: We make the assumption that 58 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\%}={58}.

Step 4: In the same vein, {x\%}={2000}.

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

{100\%}={58}(1).

{x\%}={2000}(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{58}{2000}

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

\frac{x\%}{100\%}=\frac{2000}{58}

\Rightarrow{x} = {3448.28\%}

Therefore, {2000} is {3448.28\%} of {58}.

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