226.65 is what percent of 1398.59 - 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 1398.59 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 1398.59, so we can write it down as 100%=1398.59.
4. We know, that x% equals 226.65 of the output value, so we can write it down as x%=226.65.
5. Now we have two simple equations:
1) 100%=1398.59
2) x%=226.65
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%=1398.59/226.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 226.65 is what percent of 1398.59

100%/x%=1398.59/226.65
(100/x)*x=(1398.59/226.65)*x       - we multiply both sides of the equation by x
100=6.1707037282153*x       - we divide both sides of the equation by (6.1707037282153) to get x
100/6.1707037282153=x
16.205607075698=x
x=16.205607075698

now we have:
226.65 is 16.205607075698% of 1398.59