What is 89.78 percent of 34 - 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 34 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 34 is 100%, so we can write it down as 34=100%.
4. We know, that x is 89.78% of the output value, so we can write it down as x=89.78%.
5. Now we have two simple equations:
1) 34=100%
2) x=89.78%
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:
34/x=100%/89.78%
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 89.78% of 34

34/x=100/89.78
(34/x)*x=(100/89.78)*x       - we multiply both sides of the equation by x
34=1.1138338159947*x       - we divide both sides of the equation by (1.1138338159947) to get x
34/1.1138338159947=x
30.5252=x
x=30.5252

now we have:
89.78% of 34=30.5252