#### Solution for 1445 is what percent of 3200:

1445:3200*100 =

(1445*100):3200 =

144500:3200 = 45.16

Now we have: 1445 is what percent of 3200 = 45.16

Question: 1445 is what percent of 3200?

Percentage solution with steps:

Step 1: We make the assumption that 3200 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\%}={3200}.

Step 4: In the same vein, {x\%}={1445}.

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

{100\%}={3200}(1).

{x\%}={1445}(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{3200}{1445}

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

\frac{x\%}{100\%}=\frac{1445}{3200}

\Rightarrow{x} = {45.16\%}

Therefore, {1445} is {45.16\%} of {3200}.

#### Solution for 3200 is what percent of 1445:

3200:1445*100 =

(3200*100):1445 =

320000:1445 = 221.45

Now we have: 3200 is what percent of 1445 = 221.45

Question: 3200 is what percent of 1445?

Percentage solution with steps:

Step 1: We make the assumption that 1445 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\%}={1445}.

Step 4: In the same vein, {x\%}={3200}.

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

{100\%}={1445}(1).

{x\%}={3200}(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{1445}{3200}

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

\frac{x\%}{100\%}=\frac{3200}{1445}

\Rightarrow{x} = {221.45\%}

Therefore, {3200} is {221.45\%} of {1445}.

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