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Solution for 164 is what percent of 250:

164: 250*100 =

( 164*100): 250 =

16400: 250 = 65.6

Now we have: 164 is what percent of 250 = 65.6

Question: 164 is what percent of 250?

Percentage solution with steps:

Step 1: We make the assumption that 250 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\%}={ 250}.

Step 4: In the same vein, {x\%}={ 164}.

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

{100\%}={ 250}(1).

{x\%}={ 164}(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{ 250}{ 164}

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

\frac{x\%}{100\%}=\frac{ 164}{ 250}

\Rightarrow{x} = {65.6\%}

Therefore, { 164} is {65.6\%} of { 250}.

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Solution for 250 is what percent of 164:

250: 164*100 =

( 250*100): 164 =

25000: 164 = 152.44

Now we have: 250 is what percent of 164 = 152.44

Question: 250 is what percent of 164?

Percentage solution with steps:

Step 1: We make the assumption that 164 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\%}={ 164}.

Step 4: In the same vein, {x\%}={ 250}.

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

{100\%}={ 164}(1).

{x\%}={ 250}(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{ 164}{ 250}

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

\frac{x\%}{100\%}=\frac{ 250}{ 164}

\Rightarrow{x} = {152.44\%}

Therefore, { 250} is {152.44\%} of { 164}.