What is 55.82 percent of 215.81 - 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 215.81 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 215.81 is 100%, so we can write it down as 215.81=100%.
4. We know, that x is 55.82% of the output value, so we can write it down as x=55.82%.
5. Now we have two simple equations:
1) 215.81=100%
2) x=55.82%
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:
215.81/x=100%/55.82%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 55.82% of 215.81

215.81/x=100/55.82
(215.81/x)*x=(100/55.82)*x       - we multiply both sides of the equation by x
215.81=1.7914725904694*x       - we divide both sides of the equation by (1.7914725904694) to get x
215.81/1.7914725904694=x
120.465142=x
x=120.465142

now we have:
55.82% of 215.81=120.465142