47.3 is what percent of 630.7 - 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 630.7 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 630.7, so we can write it down as 100%=630.7.
4. We know, that x% equals 47.3 of the output value, so we can write it down as x%=47.3.
5. Now we have two simple equations:
1) 100%=630.7
2) x%=47.3
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%=630.7/47.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.3 is what percent of 630.7

100%/x%=630.7/47.3
(100/x)*x=(630.7/47.3)*x       - we multiply both sides of the equation by x
100=13.334038054968*x       - we divide both sides of the equation by (13.334038054968) to get x
100/13.334038054968=x
7.4996036150309=x
x=7.4996036150309

now we have:
47.3 is 7.4996036150309% of 630.7