5.92 is what percent of 119.09 - 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 119.09 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 119.09, so we can write it down as 100%=119.09.
4. We know, that x% equals 5.92 of the output value, so we can write it down as x%=5.92.
5. Now we have two simple equations:
1) 100%=119.09
2) x%=5.92
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%=119.09/5.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.92 is what percent of 119.09

100%/x%=119.09/5.92
(100/x)*x=(119.09/5.92)*x       - we multiply both sides of the equation by x
100=20.116554054054*x       - we divide both sides of the equation by (20.116554054054) to get x
100/20.116554054054=x
4.9710303132085=x
x=4.9710303132085

now we have:
5.92 is 4.9710303132085% of 119.09