What is 5.09 percent of 46 - 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 46 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 46 is 100%, so we can write it down as 46=100%.
4. We know, that x is 5.09% of the output value, so we can write it down as x=5.09%.
5. Now we have two simple equations:
1) 46=100%
2) x=5.09%
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:
46/x=100%/5.09%
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 5.09% of 46

46/x=100/5.09
(46/x)*x=(100/5.09)*x       - we multiply both sides of the equation by x
46=19.646365422397*x       - we divide both sides of the equation by (19.646365422397) to get x
46/19.646365422397=x
2.3414=x
x=2.3414

now we have:
5.09% of 46=2.3414