17.63 is what percent of 198.77 - 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 198.77 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 198.77, so we can write it down as 100%=198.77.
4. We know, that x% equals 17.63 of the output value, so we can write it down as x%=17.63.
5. Now we have two simple equations:
1) 100%=198.77
2) x%=17.63
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%=198.77/17.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.63 is what percent of 198.77

100%/x%=198.77/17.63
(100/x)*x=(198.77/17.63)*x       - we multiply both sides of the equation by x
100=11.274532047646*x       - we divide both sides of the equation by (11.274532047646) to get x
100/11.274532047646=x
8.8695477184686=x
x=8.8695477184686

now we have:
17.63 is 8.8695477184686% of 198.77