What is 4.99 percent of 35.827 - 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 35.827 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 35.827 is 100%, so we can write it down as 35.827=100%.
4. We know, that x is 4.99% of the output value, so we can write it down as x=4.99%.
5. Now we have two simple equations:
1) 35.827=100%
2) x=4.99%
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:
35.827/x=100%/4.99%
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 4.99% of 35.827

35.827/x=100/4.99
(35.827/x)*x=(100/4.99)*x       - we multiply both sides of the equation by x
35.827=20.040080160321*x       - we divide both sides of the equation by (20.040080160321) to get x
35.827/20.040080160321=x
1.7877673=x
x=1.7877673

now we have:
4.99% of 35.827=1.7877673