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Solution for 187.5 is what percent of 45:

187.5:45*100 =

(187.5*100):45 =

18750:45 = 416.66666666667

Now we have: 187.5 is what percent of 45 = 416.66666666667

Question: 187.5 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\%}={187.5}.

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

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

{x\%}={187.5}(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}{187.5}

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

\frac{x\%}{100\%}=\frac{187.5}{45}

\Rightarrow{x} = {416.66666666667\%}

Therefore, {187.5} is {416.66666666667\%} of {45}.

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Solution for 45 is what percent of 187.5:

45:187.5*100 =

(45*100):187.5 =

4500:187.5 = 24

Now we have: 45 is what percent of 187.5 = 24

Question: 45 is what percent of 187.5?

Percentage solution with steps:

Step 1: We make the assumption that 187.5 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\%}={187.5}.

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

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

{100\%}={187.5}(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{187.5}{45}

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

\frac{x\%}{100\%}=\frac{45}{187.5}

\Rightarrow{x} = {24\%}

Therefore, {45} is {24\%} of {187.5}.