What is 91.78 percent of 12.87 - 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 12.87 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 12.87 is 100%, so we can write it down as 12.87=100%.
4. We know, that x is 91.78% of the output value, so we can write it down as x=91.78%.
5. Now we have two simple equations:
1) 12.87=100%
2) x=91.78%
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:
12.87/x=100%/91.78%
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 91.78% of 12.87

12.87/x=100/91.78
(12.87/x)*x=(100/91.78)*x       - we multiply both sides of the equation by x
12.87=1.0895619960776*x       - we divide both sides of the equation by (1.0895619960776) to get x
12.87/1.0895619960776=x
11.812086=x
x=11.812086

now we have:
91.78% of 12.87=11.812086