188.2 is what percent of 225.6 - 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 225.6 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 225.6, so we can write it down as 100%=225.6.
4. We know, that x% equals 188.2 of the output value, so we can write it down as x%=188.2.
5. Now we have two simple equations:
1) 100%=225.6
2) x%=188.2
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%=225.6/188.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 188.2 is what percent of 225.6

100%/x%=225.6/188.2
(100/x)*x=(225.6/188.2)*x       - we multiply both sides of the equation by x
100=1.1987247608927*x       - we divide both sides of the equation by (1.1987247608927) to get x
100/1.1987247608927=x
83.421985815603=x
x=83.421985815603

now we have:
188.2 is 83.421985815603% of 225.6