#### Solution for 66.2 is what percent of 1000:

66.2:1000*100 =

(66.2*100):1000 =

6620:1000 = 6.62

Now we have: 66.2 is what percent of 1000 = 6.62

Question: 66.2 is what percent of 1000?

Percentage solution with steps:

Step 1: We make the assumption that 1000 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\%}={1000}.

Step 4: In the same vein, {x\%}={66.2}.

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

{100\%}={1000}(1).

{x\%}={66.2}(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{1000}{66.2}

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

\frac{x\%}{100\%}=\frac{66.2}{1000}

\Rightarrow{x} = {6.62\%}

Therefore, {66.2} is {6.62\%} of {1000}.

#### Solution for 1000 is what percent of 66.2:

1000:66.2*100 =

(1000*100):66.2 =

100000:66.2 = 1510.5740181269

Now we have: 1000 is what percent of 66.2 = 1510.5740181269

Question: 1000 is what percent of 66.2?

Percentage solution with steps:

Step 1: We make the assumption that 66.2 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\%}={66.2}.

Step 4: In the same vein, {x\%}={1000}.

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

{100\%}={66.2}(1).

{x\%}={1000}(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{66.2}{1000}

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

\frac{x\%}{100\%}=\frac{1000}{66.2}

\Rightarrow{x} = {1510.5740181269\%}

Therefore, {1000} is {1510.5740181269\%} of {66.2}.

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