#### Solution for 460 is what percent of 45:

460:45*100 =

(460*100):45 =

46000:45 = 1022.22

Now we have: 460 is what percent of 45 = 1022.22

Question: 460 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\%}={460}.

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

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

{x\%}={460}(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}{460}

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

\frac{x\%}{100\%}=\frac{460}{45}

\Rightarrow{x} = {1022.22\%}

Therefore, {460} is {1022.22\%} of {45}.

#### Solution for 45 is what percent of 460:

45:460*100 =

(45*100):460 =

4500:460 = 9.78

Now we have: 45 is what percent of 460 = 9.78

Question: 45 is what percent of 460?

Percentage solution with steps:

Step 1: We make the assumption that 460 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\%}={460}.

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

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

{100\%}={460}(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{460}{45}

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

\frac{x\%}{100\%}=\frac{45}{460}

\Rightarrow{x} = {9.78\%}

Therefore, {45} is {9.78\%} of {460}.

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