113.98 is what percent of 217 - 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 217 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 217, so we can write it down as 100%=217.
4. We know, that x% equals 113.98 of the output value, so we can write it down as x%=113.98.
5. Now we have two simple equations:
1) 100%=217
2) x%=113.98
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%=217/113.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.98 is what percent of 217

100%/x%=217/113.98
(100/x)*x=(217/113.98)*x       - we multiply both sides of the equation by x
100=1.903842779435*x       - we divide both sides of the equation by (1.903842779435) to get x
100/1.903842779435=x
52.52534562212=x
x=52.52534562212

now we have:
113.98 is 52.52534562212% of 217