What is 11.9 percent of 85.48 - 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 85.48 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 85.48 is 100%, so we can write it down as 85.48=100%.
4. We know, that x is 11.9% of the output value, so we can write it down as x=11.9%.
5. Now we have two simple equations:
1) 85.48=100%
2) x=11.9%
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:
85.48/x=100%/11.9%
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 11.9% of 85.48

85.48/x=100/11.9
(85.48/x)*x=(100/11.9)*x       - we multiply both sides of the equation by x
85.48=8.4033613445378*x       - we divide both sides of the equation by (8.4033613445378) to get x
85.48/8.4033613445378=x
10.17212=x
x=10.17212

now we have:
11.9% of 85.48=10.17212