340.41 is what percent of 402.47 - 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 402.47 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 402.47, so we can write it down as 100%=402.47.
4. We know, that x% equals 340.41 of the output value, so we can write it down as x%=340.41.
5. Now we have two simple equations:
1) 100%=402.47
2) x%=340.41
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%=402.47/340.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 340.41 is what percent of 402.47

100%/x%=402.47/340.41
(100/x)*x=(402.47/340.41)*x       - we multiply both sides of the equation by x
100=1.18230956787*x       - we divide both sides of the equation by (1.18230956787) to get x
100/1.18230956787=x
84.580217159=x
x=84.580217159

now we have:
340.41 is 84.580217159% of 402.47