What is 68.1 percent of 45.4 - 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 45.4 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 45.4 is 100%, so we can write it down as 45.4=100%.
4. We know, that x is 68.1% of the output value, so we can write it down as x=68.1%.
5. Now we have two simple equations:
1) 45.4=100%
2) x=68.1%
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:
45.4/x=100%/68.1%
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 68.1% of 45.4

45.4/x=100/68.1
(45.4/x)*x=(100/68.1)*x       - we multiply both sides of the equation by x
45.4=1.4684287812041*x       - we divide both sides of the equation by (1.4684287812041) to get x
45.4/1.4684287812041=x
30.9174=x
x=30.9174

now we have:
68.1% of 45.4=30.9174