285.21 is what percent of 3019.07 - 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 3019.07 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 3019.07, so we can write it down as 100%=3019.07.
4. We know, that x% equals 285.21 of the output value, so we can write it down as x%=285.21.
5. Now we have two simple equations:
1) 100%=3019.07
2) x%=285.21
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%=3019.07/285.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 285.21 is what percent of 3019.07

100%/x%=3019.07/285.21
(100/x)*x=(3019.07/285.21)*x       - we multiply both sides of the equation by x
100=10.585428280916*x       - we divide both sides of the equation by (10.585428280916) to get x
100/10.585428280916=x
9.4469488948583=x
x=9.4469488948583

now we have:
285.21 is 9.4469488948583% of 3019.07