342.55 is what percent of 442.55 - 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 442.55 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 442.55, so we can write it down as 100%=442.55.
4. We know, that x% equals 342.55 of the output value, so we can write it down as x%=342.55.
5. Now we have two simple equations:
1) 100%=442.55
2) x%=342.55
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%=442.55/342.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 342.55 is what percent of 442.55

100%/x%=442.55/342.55
(100/x)*x=(442.55/342.55)*x       - we multiply both sides of the equation by x
100=1.2919281856663*x       - we divide both sides of the equation by (1.2919281856663) to get x
100/1.2919281856663=x
77.403683199638=x
x=77.403683199638

now we have:
342.55 is 77.403683199638% of 442.55