55.86 is what percent of 71.41 - 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 71.41 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 71.41, so we can write it down as 100%=71.41.
4. We know, that x% equals 55.86 of the output value, so we can write it down as x%=55.86.
5. Now we have two simple equations:
1) 100%=71.41
2) x%=55.86
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%=71.41/55.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.86 is what percent of 71.41

100%/x%=71.41/55.86
(100/x)*x=(71.41/55.86)*x       - we multiply both sides of the equation by x
100=1.2783745076978*x       - we divide both sides of the equation by (1.2783745076978) to get x
100/1.2783745076978=x
78.224338327965=x
x=78.224338327965

now we have:
55.86 is 78.224338327965% of 71.41