What is 35 percent of 99.56 - 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 99.56 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 99.56 is 100%, so we can write it down as 99.56=100%.
4. We know, that x is 35% of the output value, so we can write it down as x=35%.
5. Now we have two simple equations:
1) 99.56=100%
2) x=35%
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:
99.56/x=100%/35%
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 35% of 99.56

99.56/x=100/35
(99.56/x)*x=(100/35)*x       - we multiply both sides of the equation by x
99.56=2.8571428571429*x       - we divide both sides of the equation by (2.8571428571429) to get x
99.56/2.8571428571429=x
34.846=x
x=34.846

now we have:
35% of 99.56=34.846