What is 5.344 percent of 842 - 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 842 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 842 is 100%, so we can write it down as 842=100%.
4. We know, that x is 5.344% of the output value, so we can write it down as x=5.344%.
5. Now we have two simple equations:
1) 842=100%
2) x=5.344%
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:
842/x=100%/5.344%
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 5.344% of 842

842/x=100/5.344
(842/x)*x=(100/5.344)*x       - we multiply both sides of the equation by x
842=18.712574850299*x       - we divide both sides of the equation by (18.712574850299) to get x
842/18.712574850299=x
44.99648=x
x=44.99648

now we have:
5.344% of 842=44.99648