What is 60.1 percent of 84.2 - 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 84.2 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 84.2 is 100%, so we can write it down as 84.2=100%.
4. We know, that x is 60.1% of the output value, so we can write it down as x=60.1%.
5. Now we have two simple equations:
1) 84.2=100%
2) x=60.1%
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:
84.2/x=100%/60.1%
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 60.1% of 84.2

84.2/x=100/60.1
(84.2/x)*x=(100/60.1)*x       - we multiply both sides of the equation by x
84.2=1.6638935108153*x       - we divide both sides of the equation by (1.6638935108153) to get x
84.2/1.6638935108153=x
50.6042=x
x=50.6042

now we have:
60.1% of 84.2=50.6042