175.9 is what percent of 225.9 - 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 225.9 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 225.9, so we can write it down as 100%=225.9.
4. We know, that x% equals 175.9 of the output value, so we can write it down as x%=175.9.
5. Now we have two simple equations:
1) 100%=225.9
2) x%=175.9
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%=225.9/175.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 175.9 is what percent of 225.9

100%/x%=225.9/175.9
(100/x)*x=(225.9/175.9)*x       - we multiply both sides of the equation by x
100=1.2842524161455*x       - we divide both sides of the equation by (1.2842524161455) to get x
100/1.2842524161455=x
77.866312527667=x
x=77.866312527667

now we have:
175.9 is 77.866312527667% of 225.9