#### Solution for 32 is what percent of 40:

32:40*100 =

( 32*100):40 =

3200:40 = 80

Now we have: 32 is what percent of 40 = 80

Question: 32 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={ 32}.

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

{100\%}={40}(1).

{x\%}={ 32}(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{40}{ 32}

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

\frac{x\%}{100\%}=\frac{ 32}{40}

\Rightarrow{x} = {80\%}

Therefore, { 32} is {80\%} of {40}.

#### Solution for 40 is what percent of 32:

40: 32*100 =

(40*100): 32 =

4000: 32 = 125

Now we have: 40 is what percent of 32 = 125

Question: 40 is what percent of 32?

Percentage solution with steps:

Step 1: We make the assumption that 32 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\%}={ 32}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={ 32}(1).

{x\%}={40}(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{ 32}{40}

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

\frac{x\%}{100\%}=\frac{40}{ 32}

\Rightarrow{x} = {125\%}

Therefore, {40} is {125\%} of { 32}.

Calculation Samples