#### Solution for 10000 is what percent of 6000:

10000:6000*100 =

(10000*100):6000 =

1000000:6000 = 166.67

Now we have: 10000 is what percent of 6000 = 166.67

Question: 10000 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\%}={10000}.

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

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

{x\%}={10000}(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}{10000}

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

\frac{x\%}{100\%}=\frac{10000}{6000}

\Rightarrow{x} = {166.67\%}

Therefore, {10000} is {166.67\%} of {6000}.

#### Solution for 6000 is what percent of 10000:

6000:10000*100 =

(6000*100):10000 =

600000:10000 = 60

Now we have: 6000 is what percent of 10000 = 60

Question: 6000 is what percent of 10000?

Percentage solution with steps:

Step 1: We make the assumption that 10000 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\%}={10000}.

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

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

{100\%}={10000}(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{10000}{6000}

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

\frac{x\%}{100\%}=\frac{6000}{10000}

\Rightarrow{x} = {60\%}

Therefore, {6000} is {60\%} of {10000}.

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