47.15 is what percent of 628.9 - 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 628.9 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 628.9, so we can write it down as 100%=628.9.
4. We know, that x% equals 47.15 of the output value, so we can write it down as x%=47.15.
5. Now we have two simple equations:
1) 100%=628.9
2) x%=47.15
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%=628.9/47.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.15 is what percent of 628.9

100%/x%=628.9/47.15
(100/x)*x=(628.9/47.15)*x       - we multiply both sides of the equation by x
100=13.338282078473*x       - we divide both sides of the equation by (13.338282078473) to get x
100/13.338282078473=x
7.4972173636508=x
x=7.4972173636508

now we have:
47.15 is 7.4972173636508% of 628.9