1.18 is what percent of 209.95 - 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 209.95 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 209.95, so we can write it down as 100%=209.95.
4. We know, that x% equals 1.18 of the output value, so we can write it down as x%=1.18.
5. Now we have two simple equations:
1) 100%=209.95
2) x%=1.18
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%=209.95/1.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.18 is what percent of 209.95

100%/x%=209.95/1.18
(100/x)*x=(209.95/1.18)*x       - we multiply both sides of the equation by x
100=177.92372881356*x       - we divide both sides of the equation by (177.92372881356) to get x
100/177.92372881356=x
0.56203858061443=x
x=0.56203858061443

now we have:
1.18 is 0.56203858061443% of 209.95