70 is what percent of 406 - 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 406 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 406, so we can write it down as 100%=406.
4. We know, that x% equals 70 of the output value, so we can write it down as x%=70.
5. Now we have two simple equations:
1) 100%=406
2) x%=70
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%=406/70
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70 is what percent of 406

100%/x%=406/70
(100/x)*x=(406/70)*x       - we multiply both sides of the equation by x
100=5.8*x       - we divide both sides of the equation by (5.8) to get x
100/5.8=x
17.241379310345=x
x=17.241379310345

now we have:
70 is 17.241379310345% of 406