70 is what percent of 107.14 - 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 107.14 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 107.14, so we can write it down as 100%=107.14.
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%=107.14
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%=107.14/70
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 107.14

100%/x%=107.14/70
(100/x)*x=(107.14/70)*x       - we multiply both sides of the equation by x
100=1.5305714285714*x       - we divide both sides of the equation by (1.5305714285714) to get x
100/1.5305714285714=x
65.335075602016=x
x=65.335075602016

now we have:
70 is 65.335075602016% of 107.14