10.91 is what percent of 155.8 - 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 155.8 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 155.8, so we can write it down as 100%=155.8.
4. We know, that x% equals 10.91 of the output value, so we can write it down as x%=10.91.
5. Now we have two simple equations:
1) 100%=155.8
2) x%=10.91
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%=155.8/10.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.91 is what percent of 155.8

100%/x%=155.8/10.91
(100/x)*x=(155.8/10.91)*x       - we multiply both sides of the equation by x
100=14.280476626948*x       - we divide both sides of the equation by (14.280476626948) to get x
100/14.280476626948=x
7.002567394095=x
x=7.002567394095

now we have:
10.91 is 7.002567394095% of 155.8