5.95 is what percent of 11.8 - 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 11.8 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 11.8, so we can write it down as 100%=11.8.
4. We know, that x% equals 5.95 of the output value, so we can write it down as x%=5.95.
5. Now we have two simple equations:
1) 100%=11.8
2) x%=5.95
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%=11.8/5.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.95 is what percent of 11.8

100%/x%=11.8/5.95
(100/x)*x=(11.8/5.95)*x       - we multiply both sides of the equation by x
100=1.9831932773109*x       - we divide both sides of the equation by (1.9831932773109) to get x
100/1.9831932773109=x
50.423728813559=x
x=50.423728813559

now we have:
5.95 is 50.423728813559% of 11.8