Solution for 478 is what percent of 1004:

478:1004*100 =

(478*100):1004 =

47800:1004 = 47.61

Now we have: 478 is what percent of 1004 = 47.61

Question: 478 is what percent of 1004?

Percentage solution with steps:

Step 1: We make the assumption that 1004 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\%}={1004}.

Step 4: In the same vein, {x\%}={478}.

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

{100\%}={1004}(1).

{x\%}={478}(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{1004}{478}

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

\frac{x\%}{100\%}=\frac{478}{1004}

\Rightarrow{x} = {47.61\%}

Therefore, {478} is {47.61\%} of {1004}.

Solution for 1004 is what percent of 478:

1004:478*100 =

(1004*100):478 =

100400:478 = 210.04

Now we have: 1004 is what percent of 478 = 210.04

Question: 1004 is what percent of 478?

Percentage solution with steps:

Step 1: We make the assumption that 478 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\%}={478}.

Step 4: In the same vein, {x\%}={1004}.

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

{100\%}={478}(1).

{x\%}={1004}(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{478}{1004}

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

\frac{x\%}{100\%}=\frac{1004}{478}

\Rightarrow{x} = {210.04\%}

Therefore, {1004} is {210.04\%} of {478}.