#### Solution for 1670 is what percent of 10000:

1670:10000*100 =

(1670*100):10000 =

167000:10000 = 16.7

Now we have: 1670 is what percent of 10000 = 16.7

Question: 1670 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\%}={1670}.

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

{100\%}={10000}(1).

{x\%}={1670}(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}{1670}

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

\frac{x\%}{100\%}=\frac{1670}{10000}

\Rightarrow{x} = {16.7\%}

Therefore, {1670} is {16.7\%} of {10000}.

#### Solution for 10000 is what percent of 1670:

10000:1670*100 =

(10000*100):1670 =

1000000:1670 = 598.8

Now we have: 10000 is what percent of 1670 = 598.8

Question: 10000 is what percent of 1670?

Percentage solution with steps:

Step 1: We make the assumption that 1670 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\%}={1670}.

Step 4: In the same vein, {x\%}={10000}.

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

{100\%}={1670}(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{1670}{10000}

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

\frac{x\%}{100\%}=\frac{10000}{1670}

\Rightarrow{x} = {598.8\%}

Therefore, {10000} is {598.8\%} of {1670}.

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