70 is what percent of 10170 - 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 10170 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 10170, so we can write it down as 100%=10170.
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%=10170
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%=10170/70
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 10170

100%/x%=10170/70
(100/x)*x=(10170/70)*x       - we multiply both sides of the equation by x
100=145.28571428571*x       - we divide both sides of the equation by (145.28571428571) to get x
100/145.28571428571=x
0.68829891838741=x
x=0.68829891838741

now we have:
70 is 0.68829891838741% of 10170