#### Solution for 143 is what percent of 160:

143:160*100 =

(143*100):160 =

14300:160 = 89.38

Now we have: 143 is what percent of 160 = 89.38

Question: 143 is what percent of 160?

Percentage solution with steps:

Step 1: We make the assumption that 160 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\%}={160}.

Step 4: In the same vein, {x\%}={143}.

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

{100\%}={160}(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{160}{143}

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

\frac{x\%}{100\%}=\frac{143}{160}

\Rightarrow{x} = {89.38\%}

Therefore, {143} is {89.38\%} of {160}.

#### Solution for 160 is what percent of 143:

160:143*100 =

(160*100):143 =

16000:143 = 111.89

Now we have: 160 is what percent of 143 = 111.89

Question: 160 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\%}={160}.

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

{100\%}={143}(1).

{x\%}={160}(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}{160}

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

\frac{x\%}{100\%}=\frac{160}{143}

\Rightarrow{x} = {111.89\%}

Therefore, {160} is {111.89\%} of {143}.

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