#### Solution for 56 is what percent of 143:

56:143*100 =

(56*100):143 =

5600:143 = 39.16

Now we have: 56 is what percent of 143 = 39.16

Question: 56 is what percent of 143?

Percentage solution with steps:

Step 1: We make the assumption that 143 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\%}={143}.

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

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

{100\%}={143}(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{143}{56}

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

\frac{x\%}{100\%}=\frac{56}{143}

\Rightarrow{x} = {39.16\%}

Therefore, {56} is {39.16\%} of {143}.

#### Solution for 143 is what percent of 56:

143:56*100 =

(143*100):56 =

14300:56 = 255.36

Now we have: 143 is what percent of 56 = 255.36

Question: 143 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\%}={143}.

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

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

{x\%}={143}(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}{143}

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

\frac{x\%}{100\%}=\frac{143}{56}

\Rightarrow{x} = {255.36\%}

Therefore, {143} is {255.36\%} of {56}.

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