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Solution for 164 is what percent of 34:

164:34*100 =

(164*100):34 =

16400:34 = 482.35

Now we have: 164 is what percent of 34 = 482.35

Question: 164 is what percent of 34?

Percentage solution with steps:

Step 1: We make the assumption that 34 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\%}={34}.

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

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

{100\%}={34}(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{34}{164}

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

\frac{x\%}{100\%}=\frac{164}{34}

\Rightarrow{x} = {482.35\%}

Therefore, {164} is {482.35\%} of {34}.

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Solution for 34 is what percent of 164:

34:164*100 =

(34*100):164 =

3400:164 = 20.73

Now we have: 34 is what percent of 164 = 20.73

Question: 34 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\%}={34}.

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

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

{x\%}={34}(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}{34}

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

\frac{x\%}{100\%}=\frac{34}{164}

\Rightarrow{x} = {20.73\%}

Therefore, {34} is {20.73\%} of {164}.