10.86 is what percent of 55 - 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 55 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 55, so we can write it down as 100%=55.
4. We know, that x% equals 10.86 of the output value, so we can write it down as x%=10.86.
5. Now we have two simple equations:
1) 100%=55
2) x%=10.86
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%=55/10.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.86 is what percent of 55

100%/x%=55/10.86
(100/x)*x=(55/10.86)*x       - we multiply both sides of the equation by x
100=5.0644567219153*x       - we divide both sides of the equation by (5.0644567219153) to get x
100/5.0644567219153=x
19.745454545455=x
x=19.745454545455

now we have:
10.86 is 19.745454545455% of 55