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Solution for 31.5 is what percent of 45:

31.5:45*100 =

(31.5*100):45 =

3150:45 = 70

Now we have: 31.5 is what percent of 45 = 70

Question: 31.5 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\%}={31.5}.

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

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

{x\%}={31.5}(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}{31.5}

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

\frac{x\%}{100\%}=\frac{31.5}{45}

\Rightarrow{x} = {70\%}

Therefore, {31.5} is {70\%} of {45}.

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Solution for 45 is what percent of 31.5:

45:31.5*100 =

(45*100):31.5 =

4500:31.5 = 142.85714285714

Now we have: 45 is what percent of 31.5 = 142.85714285714

Question: 45 is what percent of 31.5?

Percentage solution with steps:

Step 1: We make the assumption that 31.5 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\%}={31.5}.

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

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

{100\%}={31.5}(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{31.5}{45}

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

\frac{x\%}{100\%}=\frac{45}{31.5}

\Rightarrow{x} = {142.85714285714\%}

Therefore, {45} is {142.85714285714\%} of {31.5}.