What is 76 percent of 86.4 - 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 86.4 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 86.4 is 100%, so we can write it down as 86.4=100%.
4. We know, that x is 76% of the output value, so we can write it down as x=76%.
5. Now we have two simple equations:
1) 86.4=100%
2) x=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:
86.4/x=100%/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 76% of 86.4

86.4/x=100/76
(86.4/x)*x=(100/76)*x       - we multiply both sides of the equation by x
86.4=1.3157894736842*x       - we divide both sides of the equation by (1.3157894736842) to get x
86.4/1.3157894736842=x
65.664=x
x=65.664

now we have:
76% of 86.4=65.664