What is 4.35 percent of 49.946 - 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 49.946 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 49.946 is 100%, so we can write it down as 49.946=100%.
4. We know, that x is 4.35% of the output value, so we can write it down as x=4.35%.
5. Now we have two simple equations:
1) 49.946=100%
2) x=4.35%
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:
49.946/x=100%/4.35%
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 4.35% of 49.946

49.946/x=100/4.35
(49.946/x)*x=(100/4.35)*x       - we multiply both sides of the equation by x
49.946=22.988505747126*x       - we divide both sides of the equation by (22.988505747126) to get x
49.946/22.988505747126=x
2.172651=x
x=2.172651

now we have:
4.35% of 49.946=2.172651