218.9 is what percent of 994.8 - 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 994.8 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 994.8, so we can write it down as 100%=994.8.
4. We know, that x% equals 218.9 of the output value, so we can write it down as x%=218.9.
5. Now we have two simple equations:
1) 100%=994.8
2) x%=218.9
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%=994.8/218.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 218.9 is what percent of 994.8

100%/x%=994.8/218.9
(100/x)*x=(994.8/218.9)*x       - we multiply both sides of the equation by x
100=4.5445408862494*x       - we divide both sides of the equation by (4.5445408862494) to get x
100/4.5445408862494=x
22.004422999598=x
x=22.004422999598

now we have:
218.9 is 22.004422999598% of 994.8