#### Solution for 32 is what percent of 1645:

32:1645*100 =

(32*100):1645 =

3200:1645 = 1.95

Now we have: 32 is what percent of 1645 = 1.95

Question: 32 is what percent of 1645?

Percentage solution with steps:

Step 1: We make the assumption that 1645 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\%}={1645}.

Step 4: In the same vein, {x\%}={32}.

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

{100\%}={1645}(1).

{x\%}={32}(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{1645}{32}

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

\frac{x\%}{100\%}=\frac{32}{1645}

\Rightarrow{x} = {1.95\%}

Therefore, {32} is {1.95\%} of {1645}.

#### Solution for 1645 is what percent of 32:

1645:32*100 =

(1645*100):32 =

164500:32 = 5140.63

Now we have: 1645 is what percent of 32 = 5140.63

Question: 1645 is what percent of 32?

Percentage solution with steps:

Step 1: We make the assumption that 32 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\%}={32}.

Step 4: In the same vein, {x\%}={1645}.

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

{100\%}={32}(1).

{x\%}={1645}(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{32}{1645}

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

\frac{x\%}{100\%}=\frac{1645}{32}

\Rightarrow{x} = {5140.63\%}

Therefore, {1645} is {5140.63\%} of {32}.

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