298.11 is what percent of 630.96 - 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 630.96 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 630.96, so we can write it down as 100%=630.96.
4. We know, that x% equals 298.11 of the output value, so we can write it down as x%=298.11.
5. Now we have two simple equations:
1) 100%=630.96
2) x%=298.11
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%=630.96/298.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 298.11 is what percent of 630.96

100%/x%=630.96/298.11
(100/x)*x=(630.96/298.11)*x       - we multiply both sides of the equation by x
100=2.116534165241*x       - we divide both sides of the equation by (2.116534165241) to get x
100/2.116534165241=x
47.247052111069=x
x=47.247052111069

now we have:
298.11 is 47.247052111069% of 630.96