216.6 is what percent of 2010 - 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 2010 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 2010, so we can write it down as 100%=2010.
4. We know, that x% equals 216.6 of the output value, so we can write it down as x%=216.6.
5. Now we have two simple equations:
1) 100%=2010
2) x%=216.6
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%=2010/216.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 216.6 is what percent of 2010

100%/x%=2010/216.6
(100/x)*x=(2010/216.6)*x       - we multiply both sides of the equation by x
100=9.2797783933518*x       - we divide both sides of the equation by (9.2797783933518) to get x
100/9.2797783933518=x
10.776119402985=x
x=10.776119402985

now we have:
216.6 is 10.776119402985% of 2010