67 is what percent of 159.8 - 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 159.8 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 100% equals 159.8, so we can write it down as 100%=159.8.
4. We know, that x% equals 67 of the output value, so we can write it down as x%=67.
5. Now we have two simple equations:
1) 100%=159.8
2) x%=67
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%=159.8/67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67 is what percent of 159.8

100%/x%=159.8/67
(100/x)*x=(159.8/67)*x       - we multiply both sides of the equation by x
100=2.3850746268657*x       - we divide both sides of the equation by (2.3850746268657) to get x
100/2.3850746268657=x
41.927409261577=x
x=41.927409261577

now we have:
67 is 41.927409261577% of 159.8