#### Solution for 352 is what percent of 1000:

352:1000*100 =

(352*100):1000 =

35200:1000 = 35.2

Now we have: 352 is what percent of 1000 = 35.2

Question: 352 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\%}={352}.

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

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

{x\%}={352}(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}{352}

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

\frac{x\%}{100\%}=\frac{352}{1000}

\Rightarrow{x} = {35.2\%}

Therefore, {352} is {35.2\%} of {1000}.

#### Solution for 1000 is what percent of 352:

1000:352*100 =

(1000*100):352 =

100000:352 = 284.09

Now we have: 1000 is what percent of 352 = 284.09

Question: 1000 is what percent of 352?

Percentage solution with steps:

Step 1: We make the assumption that 352 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\%}={352}.

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

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

{100\%}={352}(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{352}{1000}

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

\frac{x\%}{100\%}=\frac{1000}{352}

\Rightarrow{x} = {284.09\%}

Therefore, {1000} is {284.09\%} of {352}.

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