265.13 is what percent of 346 - 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 346 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 346, so we can write it down as 100%=346.
4. We know, that x% equals 265.13 of the output value, so we can write it down as x%=265.13.
5. Now we have two simple equations:
1) 100%=346
2) x%=265.13
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%=346/265.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 265.13 is what percent of 346

100%/x%=346/265.13
(100/x)*x=(346/265.13)*x       - we multiply both sides of the equation by x
100=1.3050201787802*x       - we divide both sides of the equation by (1.3050201787802) to get x
100/1.3050201787802=x
76.627167630058=x
x=76.627167630058

now we have:
265.13 is 76.627167630058% of 346