15.6 is what percent of 84.7 - 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 84.7 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 84.7, so we can write it down as 100%=84.7.
4. We know, that x% equals 15.6 of the output value, so we can write it down as x%=15.6.
5. Now we have two simple equations:
1) 100%=84.7
2) x%=15.6
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%=84.7/15.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.6 is what percent of 84.7

100%/x%=84.7/15.6
(100/x)*x=(84.7/15.6)*x       - we multiply both sides of the equation by x
100=5.4294871794872*x       - we divide both sides of the equation by (5.4294871794872) to get x
100/5.4294871794872=x
18.417945690673=x
x=18.417945690673

now we have:
15.6 is 18.417945690673% of 84.7