1007.42 is what percent of 978.34 - 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 978.34 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 978.34, so we can write it down as 100%=978.34.
4. We know, that x% equals 1007.42 of the output value, so we can write it down as x%=1007.42.
5. Now we have two simple equations:
1) 100%=978.34
2) x%=1007.42
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%=978.34/1007.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1007.42 is what percent of 978.34

100%/x%=978.34/1007.42
(100/x)*x=(978.34/1007.42)*x       - we multiply both sides of the equation by x
100=0.97113418435211*x       - we divide both sides of the equation by (0.97113418435211) to get x
100/0.97113418435211=x
102.97238178956=x
x=102.97238178956

now we have:
1007.42 is 102.97238178956% of 978.34