261.69 is what percent of 466.59 - 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 466.59 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 466.59, so we can write it down as 100%=466.59.
4. We know, that x% equals 261.69 of the output value, so we can write it down as x%=261.69.
5. Now we have two simple equations:
1) 100%=466.59
2) x%=261.69
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%=466.59/261.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 261.69 is what percent of 466.59

100%/x%=466.59/261.69
(100/x)*x=(466.59/261.69)*x       - we multiply both sides of the equation by x
100=1.782987504299*x       - we divide both sides of the equation by (1.782987504299) to get x
100/1.782987504299=x
56.085642641291=x
x=56.085642641291

now we have:
261.69 is 56.085642641291% of 466.59