116.9 is what percent of 278.7 - 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 278.7 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 100% equals 278.7, so we can write it down as 100%=278.7.
4. We know, that x% equals 116.9 of the output value, so we can write it down as x%=116.9.
5. Now we have two simple equations:
1) 100%=278.7
2) x%=116.9
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:
100%/x%=278.7/116.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 116.9 is what percent of 278.7

100%/x%=278.7/116.9
(100/x)*x=(278.7/116.9)*x       - we multiply both sides of the equation by x
100=2.3840889649273*x       - we divide both sides of the equation by (2.3840889649273) to get x
100/2.3840889649273=x
41.94474345174=x
x=41.94474345174

now we have:
116.9 is 41.94474345174% of 278.7