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Solution for 160 is what percent of 4000:

160:4000*100 =

(160*100):4000 =

16000:4000 = 4

Now we have: 160 is what percent of 4000 = 4

Question: 160 is what percent of 4000?

Percentage solution with steps:

Step 1: We make the assumption that 4000 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\%}={4000}.

Step 4: In the same vein, {x\%}={160}.

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

{100\%}={4000}(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{4000}{160}

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

\frac{x\%}{100\%}=\frac{160}{4000}

\Rightarrow{x} = {4\%}

Therefore, {160} is {4\%} of {4000}.

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Solution for 4000 is what percent of 160:

4000:160*100 =

(4000*100):160 =

400000:160 = 2500

Now we have: 4000 is what percent of 160 = 2500

Question: 4000 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\%}={4000}.

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

{100\%}={160}(1).

{x\%}={4000}(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}{4000}

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

\frac{x\%}{100\%}=\frac{4000}{160}

\Rightarrow{x} = {2500\%}

Therefore, {4000} is {2500\%} of {160}.