226.5 is what percent of 261.5 - 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 261.5 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 261.5, so we can write it down as 100%=261.5.
4. We know, that x% equals 226.5 of the output value, so we can write it down as x%=226.5.
5. Now we have two simple equations:
1) 100%=261.5
2) x%=226.5
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%=261.5/226.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 226.5 is what percent of 261.5

100%/x%=261.5/226.5
(100/x)*x=(261.5/226.5)*x       - we multiply both sides of the equation by x
100=1.1545253863135*x       - we divide both sides of the equation by (1.1545253863135) to get x
100/1.1545253863135=x
86.615678776291=x
x=86.615678776291

now we have:
226.5 is 86.615678776291% of 261.5