#### Solution for 72 is what percent of 3000:

72:3000*100 =

(72*100):3000 =

7200:3000 = 2.4

Now we have: 72 is what percent of 3000 = 2.4

Question: 72 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\%}={72}.

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

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

{x\%}={72}(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}{72}

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

\frac{x\%}{100\%}=\frac{72}{3000}

\Rightarrow{x} = {2.4\%}

Therefore, {72} is {2.4\%} of {3000}.

#### Solution for 3000 is what percent of 72:

3000:72*100 =

(3000*100):72 =

300000:72 = 4166.67

Now we have: 3000 is what percent of 72 = 4166.67

Question: 3000 is what percent of 72?

Percentage solution with steps:

Step 1: We make the assumption that 72 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\%}={72}.

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

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

{100\%}={72}(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{72}{3000}

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

\frac{x\%}{100\%}=\frac{3000}{72}

\Rightarrow{x} = {4166.67\%}

Therefore, {3000} is {4166.67\%} of {72}.

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