What is 56.76 percent of 105.71 - 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 105.71 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 105.71 is 100%, so we can write it down as 105.71=100%.
4. We know, that x is 56.76% of the output value, so we can write it down as x=56.76%.
5. Now we have two simple equations:
1) 105.71=100%
2) x=56.76%
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:
105.71/x=100%/56.76%
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 56.76% of 105.71

105.71/x=100/56.76
(105.71/x)*x=(100/56.76)*x       - we multiply both sides of the equation by x
105.71=1.7618040873855*x       - we divide both sides of the equation by (1.7618040873855) to get x
105.71/1.7618040873855=x
60.000996=x
x=60.000996

now we have:
56.76% of 105.71=60.000996