978.54 is what percent of 7070 - 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 7070 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 7070, so we can write it down as 100%=7070.
4. We know, that x% equals 978.54 of the output value, so we can write it down as x%=978.54.
5. Now we have two simple equations:
1) 100%=7070
2) x%=978.54
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%=7070/978.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 978.54 is what percent of 7070

100%/x%=7070/978.54
(100/x)*x=(7070/978.54)*x       - we multiply both sides of the equation by x
100=7.2250495636356*x       - we divide both sides of the equation by (7.2250495636356) to get x
100/7.2250495636356=x
13.840735502122=x
x=13.840735502122

now we have:
978.54 is 13.840735502122% of 7070