What is 71.98 percent of 115.43 - 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 115.43 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 115.43 is 100%, so we can write it down as 115.43=100%.
4. We know, that x is 71.98% of the output value, so we can write it down as x=71.98%.
5. Now we have two simple equations:
1) 115.43=100%
2) x=71.98%
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:
115.43/x=100%/71.98%
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 71.98% of 115.43

115.43/x=100/71.98
(115.43/x)*x=(100/71.98)*x       - we multiply both sides of the equation by x
115.43=1.3892747985552*x       - we divide both sides of the equation by (1.3892747985552) to get x
115.43/1.3892747985552=x
83.086514=x
x=83.086514

now we have:
71.98% of 115.43=83.086514