10.8 is what percent of 216.4 - 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 216.4 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 216.4, so we can write it down as 100%=216.4.
4. We know, that x% equals 10.8 of the output value, so we can write it down as x%=10.8.
5. Now we have two simple equations:
1) 100%=216.4
2) x%=10.8
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%=216.4/10.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.8 is what percent of 216.4

100%/x%=216.4/10.8
(100/x)*x=(216.4/10.8)*x       - we multiply both sides of the equation by x
100=20.037037037037*x       - we divide both sides of the equation by (20.037037037037) to get x
100/20.037037037037=x
4.9907578558226=x
x=4.9907578558226

now we have:
10.8 is 4.9907578558226% of 216.4