119.95 is what percent of 194.95 - 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 194.95 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 194.95, so we can write it down as 100%=194.95.
4. We know, that x% equals 119.95 of the output value, so we can write it down as x%=119.95.
5. Now we have two simple equations:
1) 100%=194.95
2) x%=119.95
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%=194.95/119.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 119.95 is what percent of 194.95

100%/x%=194.95/119.95
(100/x)*x=(194.95/119.95)*x       - we multiply both sides of the equation by x
100=1.6252605252188*x       - we divide both sides of the equation by (1.6252605252188) to get x
100/1.6252605252188=x
61.528597076173=x
x=61.528597076173

now we have:
119.95 is 61.528597076173% of 194.95