#### Solution for 164 is what percent of 930:

164:930*100 =

(164*100):930 =

16400:930 = 17.63

Now we have: 164 is what percent of 930 = 17.63

Question: 164 is what percent of 930?

Percentage solution with steps:

Step 1: We make the assumption that 930 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\%}={930}.

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

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

{100\%}={930}(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{930}{164}

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

\frac{x\%}{100\%}=\frac{164}{930}

\Rightarrow{x} = {17.63\%}

Therefore, {164} is {17.63\%} of {930}.

#### Solution for 930 is what percent of 164:

930:164*100 =

(930*100):164 =

93000:164 = 567.07

Now we have: 930 is what percent of 164 = 567.07

Question: 930 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\%}={930}.

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

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

{x\%}={930}(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}{930}

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

\frac{x\%}{100\%}=\frac{930}{164}

\Rightarrow{x} = {567.07\%}

Therefore, {930} is {567.07\%} of {164}.

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