Solution for 6000 is what percent of 40000:

6000:40000*100 =

(6000*100):40000 =

600000:40000 = 15

Now we have: 6000 is what percent of 40000 = 15

Question: 6000 is what percent of 40000?

Percentage solution with steps:

Step 1: We make the assumption that 40000 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\%}={40000}.

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

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

{100\%}={40000}(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{40000}{6000}

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

\frac{x\%}{100\%}=\frac{6000}{40000}

\Rightarrow{x} = {15\%}

Therefore, {6000} is {15\%} of {40000}.

Solution for 40000 is what percent of 6000:

40000:6000*100 =

(40000*100):6000 =

4000000:6000 = 666.67

Now we have: 40000 is what percent of 6000 = 666.67

Question: 40000 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\%}={40000}.

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

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

{x\%}={40000}(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}{40000}

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

\frac{x\%}{100\%}=\frac{40000}{6000}

\Rightarrow{x} = {666.67\%}

Therefore, {40000} is {666.67\%} of {6000}.

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