#### Solution for 56 is what percent of 140:

56:140*100 =

(56*100):140 =

5600:140 = 40

Now we have: 56 is what percent of 140 = 40

Question: 56 is what percent of 140?

Percentage solution with steps:

Step 1: We make the assumption that 140 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\%}={140}.

Step 4: In the same vein, {x\%}={56}.

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

{100\%}={140}(1).

{x\%}={56}(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{140}{56}

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

\frac{x\%}{100\%}=\frac{56}{140}

\Rightarrow{x} = {40\%}

Therefore, {56} is {40\%} of {140}.

#### Solution for 140 is what percent of 56:

140:56*100 =

(140*100):56 =

14000:56 = 250

Now we have: 140 is what percent of 56 = 250

Question: 140 is what percent of 56?

Percentage solution with steps:

Step 1: We make the assumption that 56 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\%}={56}.

Step 4: In the same vein, {x\%}={140}.

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

{100\%}={56}(1).

{x\%}={140}(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{56}{140}

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

\frac{x\%}{100\%}=\frac{140}{56}

\Rightarrow{x} = {250\%}

Therefore, {140} is {250\%} of {56}.

Calculation Samples