7342.32 is what percent of 7840.42 - 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 7840.42 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 7840.42, so we can write it down as 100%=7840.42.
4. We know, that x% equals 7342.32 of the output value, so we can write it down as x%=7342.32.
5. Now we have two simple equations:
1) 100%=7840.42
2) x%=7342.32
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%=7840.42/7342.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7342.32 is what percent of 7840.42

100%/x%=7840.42/7342.32
(100/x)*x=(7840.42/7342.32)*x       - we multiply both sides of the equation by x
100=1.0678395929352*x       - we divide both sides of the equation by (1.0678395929352) to get x
100/1.0678395929352=x
93.647024011469=x
x=93.647024011469

now we have:
7342.32 is 93.647024011469% of 7840.42