#### Solution for 3000 is what percent of 1300:

3000:1300*100 =

(3000*100):1300 =

300000:1300 = 230.77

Now we have: 3000 is what percent of 1300 = 230.77

Question: 3000 is what percent of 1300?

Percentage solution with steps:

Step 1: We make the assumption that 1300 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\%}={1300}.

Step 4: In the same vein, {x\%}={3000}.

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

{100\%}={1300}(1).

{x\%}={3000}(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{1300}{3000}

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

\frac{x\%}{100\%}=\frac{3000}{1300}

\Rightarrow{x} = {230.77\%}

Therefore, {3000} is {230.77\%} of {1300}.

#### Solution for 1300 is what percent of 3000:

1300:3000*100 =

(1300*100):3000 =

130000:3000 = 43.33

Now we have: 1300 is what percent of 3000 = 43.33

Question: 1300 is what percent of 3000?

Percentage solution with steps:

Step 1: We make the assumption that 3000 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\%}={3000}.

Step 4: In the same vein, {x\%}={1300}.

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

{100\%}={3000}(1).

{x\%}={1300}(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{3000}{1300}

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

\frac{x\%}{100\%}=\frac{1300}{3000}

\Rightarrow{x} = {43.33\%}

Therefore, {1300} is {43.33\%} of {3000}.

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