What is 59.71 percent of 1.072 - 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 1.072 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 1.072 is 100%, so we can write it down as 1.072=100%.
4. We know, that x is 59.71% of the output value, so we can write it down as x=59.71%.
5. Now we have two simple equations:
1) 1.072=100%
2) x=59.71%
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:
1.072/x=100%/59.71%
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 59.71% of 1.072

1.072/x=100/59.71
(1.072/x)*x=(100/59.71)*x       - we multiply both sides of the equation by x
1.072=1.6747613465081*x       - we divide both sides of the equation by (1.6747613465081) to get x
1.072/1.6747613465081=x
0.6400912=x
x=0.6400912

now we have:
59.71% of 1.072=0.6400912