199.2 is what percent of 225 - 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 225 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 225, so we can write it down as 100%=225.
4. We know, that x% equals 199.2 of the output value, so we can write it down as x%=199.2.
5. Now we have two simple equations:
1) 100%=225
2) x%=199.2
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%=225/199.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.2 is what percent of 225

100%/x%=225/199.2
(100/x)*x=(225/199.2)*x       - we multiply both sides of the equation by x
100=1.1295180722892*x       - we divide both sides of the equation by (1.1295180722892) to get x
100/1.1295180722892=x
88.533333333333=x
x=88.533333333333

now we have:
199.2 is 88.533333333333% of 225