#### Solution for 254 is what percent of 422:

254:422*100 =

(254*100):422 =

25400:422 = 60.19

Now we have: 254 is what percent of 422 = 60.19

Question: 254 is what percent of 422?

Percentage solution with steps:

Step 1: We make the assumption that 422 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\%}={422}.

Step 4: In the same vein, {x\%}={254}.

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

{100\%}={422}(1).

{x\%}={254}(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{422}{254}

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

\frac{x\%}{100\%}=\frac{254}{422}

\Rightarrow{x} = {60.19\%}

Therefore, {254} is {60.19\%} of {422}.

#### Solution for 422 is what percent of 254:

422:254*100 =

(422*100):254 =

42200:254 = 166.14

Now we have: 422 is what percent of 254 = 166.14

Question: 422 is what percent of 254?

Percentage solution with steps:

Step 1: We make the assumption that 254 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\%}={254}.

Step 4: In the same vein, {x\%}={422}.

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

{100\%}={254}(1).

{x\%}={422}(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{254}{422}

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

\frac{x\%}{100\%}=\frac{422}{254}

\Rightarrow{x} = {166.14\%}

Therefore, {422} is {166.14\%} of {254}.

Calculation Samples