10.11 is what percent of 137.42 - 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 137.42 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 137.42, so we can write it down as 100%=137.42.
4. We know, that x% equals 10.11 of the output value, so we can write it down as x%=10.11.
5. Now we have two simple equations:
1) 100%=137.42
2) x%=10.11
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%=137.42/10.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.11 is what percent of 137.42

100%/x%=137.42/10.11
(100/x)*x=(137.42/10.11)*x       - we multiply both sides of the equation by x
100=13.592482690406*x       - we divide both sides of the equation by (13.592482690406) to get x
100/13.592482690406=x
7.3570077135788=x
x=7.3570077135788

now we have:
10.11 is 7.3570077135788% of 137.42