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Solution for 1002 is what percent of 45:

1002:45*100 =

(1002*100):45 =

100200:45 = 2226.67

Now we have: 1002 is what percent of 45 = 2226.67

Question: 1002 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

Step 4: In the same vein, {x\%}={1002}.

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

{100\%}={45}(1).

{x\%}={1002}(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{45}{1002}

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

\frac{x\%}{100\%}=\frac{1002}{45}

\Rightarrow{x} = {2226.67\%}

Therefore, {1002} is {2226.67\%} of {45}.

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Solution for 45 is what percent of 1002:

45:1002*100 =

(45*100):1002 =

4500:1002 = 4.49

Now we have: 45 is what percent of 1002 = 4.49

Question: 45 is what percent of 1002?

Percentage solution with steps:

Step 1: We make the assumption that 1002 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\%}={1002}.

Step 4: In the same vein, {x\%}={45}.

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

{100\%}={1002}(1).

{x\%}={45}(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{1002}{45}

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

\frac{x\%}{100\%}=\frac{45}{1002}

\Rightarrow{x} = {4.49\%}

Therefore, {45} is {4.49\%} of {1002}.