261.82 is what percent of 340.18 - 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 340.18 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 340.18, so we can write it down as 100%=340.18.
4. We know, that x% equals 261.82 of the output value, so we can write it down as x%=261.82.
5. Now we have two simple equations:
1) 100%=340.18
2) x%=261.82
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%=340.18/261.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 261.82 is what percent of 340.18

100%/x%=340.18/261.82
(100/x)*x=(340.18/261.82)*x       - we multiply both sides of the equation by x
100=1.2992895882667*x       - we divide both sides of the equation by (1.2992895882667) to get x
100/1.2992895882667=x
76.965136104415=x
x=76.965136104415

now we have:
261.82 is 76.965136104415% of 340.18