What is 86.25 percent of 97.72 - 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 97.72 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 97.72 is 100%, so we can write it down as 97.72=100%.
4. We know, that x is 86.25% of the output value, so we can write it down as x=86.25%.
5. Now we have two simple equations:
1) 97.72=100%
2) x=86.25%
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:
97.72/x=100%/86.25%
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 86.25% of 97.72

97.72/x=100/86.25
(97.72/x)*x=(100/86.25)*x       - we multiply both sides of the equation by x
97.72=1.1594202898551*x       - we divide both sides of the equation by (1.1594202898551) to get x
97.72/1.1594202898551=x
84.2835=x
x=84.2835

now we have:
86.25% of 97.72=84.2835