#### Solution for 180 is what percent of 6000:

180:6000*100 =

(180*100):6000 =

18000:6000 = 3

Now we have: 180 is what percent of 6000 = 3

Question: 180 is what percent of 6000?

Percentage solution with steps:

Step 1: We make the assumption that 6000 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\%}={6000}.

Step 4: In the same vein, {x\%}={180}.

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

{100\%}={6000}(1).

{x\%}={180}(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{6000}{180}

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

\frac{x\%}{100\%}=\frac{180}{6000}

\Rightarrow{x} = {3\%}

Therefore, {180} is {3\%} of {6000}.

#### Solution for 6000 is what percent of 180:

6000:180*100 =

(6000*100):180 =

600000:180 = 3333.33

Now we have: 6000 is what percent of 180 = 3333.33

Question: 6000 is what percent of 180?

Percentage solution with steps:

Step 1: We make the assumption that 180 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\%}={180}.

Step 4: In the same vein, {x\%}={6000}.

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

{100\%}={180}(1).

{x\%}={6000}(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{180}{6000}

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

\frac{x\%}{100\%}=\frac{6000}{180}

\Rightarrow{x} = {3333.33\%}

Therefore, {6000} is {3333.33\%} of {180}.

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