70 is what percent of 10.31 - 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 10.31 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 10.31, so we can write it down as 100%=10.31.
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%=10.31
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%=10.31/70
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 10.31

100%/x%=10.31/70
(100/x)*x=(10.31/70)*x       - we multiply both sides of the equation by x
100=0.14728571428571*x       - we divide both sides of the equation by (0.14728571428571) to get x
100/0.14728571428571=x
678.95247332687=x
x=678.95247332687

now we have:
70 is 678.95247332687% of 10.31