What is 4.6 percent of 158.8 - 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 158.8 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 158.8 is 100%, so we can write it down as 158.8=100%.
4. We know, that x is 4.6% of the output value, so we can write it down as x=4.6%.
5. Now we have two simple equations:
1) 158.8=100%
2) x=4.6%
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:
158.8/x=100%/4.6%
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 4.6% of 158.8

158.8/x=100/4.6
(158.8/x)*x=(100/4.6)*x       - we multiply both sides of the equation by x
158.8=21.739130434783*x       - we divide both sides of the equation by (21.739130434783) to get x
158.8/21.739130434783=x
7.3048=x
x=7.3048

now we have:
4.6% of 158.8=7.3048