What is 116.8 percent of 42 - 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 42 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 42 is 100%, so we can write it down as 42=100%.
4. We know, that x is 116.8% of the output value, so we can write it down as x=116.8%.
5. Now we have two simple equations:
1) 42=100%
2) x=116.8%
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:
42/x=100%/116.8%
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 116.8% of 42

42/x=100/116.8
(42/x)*x=(100/116.8)*x       - we multiply both sides of the equation by x
42=0.85616438356164*x       - we divide both sides of the equation by (0.85616438356164) to get x
42/0.85616438356164=x
49.056=x
x=49.056

now we have:
116.8% of 42=49.056