225.6 is what percent of 989.8 - 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 989.8 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 989.8, so we can write it down as 100%=989.8.
4. We know, that x% equals 225.6 of the output value, so we can write it down as x%=225.6.
5. Now we have two simple equations:
1) 100%=989.8
2) x%=225.6
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%=989.8/225.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 225.6 is what percent of 989.8

100%/x%=989.8/225.6
(100/x)*x=(989.8/225.6)*x       - we multiply both sides of the equation by x
100=4.3874113475177*x       - we divide both sides of the equation by (4.3874113475177) to get x
100/4.3874113475177=x
22.792483329966=x
x=22.792483329966

now we have:
225.6 is 22.792483329966% of 989.8