478.82 is what percent of 284.8 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 284.8 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 284.8, so we can write it down as 100%=284.8.
4. We know, that x% equals 478.82 of the output value, so we can write it down as x%=478.82.
5. Now we have two simple equations:
1) 100%=284.8
2) x%=478.82
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=284.8/478.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 478.82 is what percent of 284.8

100%/x%=284.8/478.82
(100/x)*x=(284.8/478.82)*x       - we multiply both sides of the equation by x
100=0.59479553903346*x       - we divide both sides of the equation by (0.59479553903346) to get x
100/0.59479553903346=x
168.125=x
x=168.125

now we have:
478.82 is 168.125% of 284.8