47672.84 is what percent of 796963.6 - 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 796963.6 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 796963.6, so we can write it down as 100%=796963.6.
4. We know, that x% equals 47672.84 of the output value, so we can write it down as x%=47672.84.
5. Now we have two simple equations:
1) 100%=796963.6
2) x%=47672.84
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%=796963.6/47672.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47672.84 is what percent of 796963.6

100%/x%=796963.6/47672.84
(100/x)*x=(796963.6/47672.84)*x       - we multiply both sides of the equation by x
100=16.717351011603*x       - we divide both sides of the equation by (16.717351011603) to get x
100/16.717351011603=x
5.9818089558921=x
x=5.9818089558921

now we have:
47672.84 is 5.9818089558921% of 796963.6