10 is what percent of 70270 - 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 70270 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 70270, so we can write it down as 100%=70270.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=70270
2) x%=10
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%=70270/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 70270

100%/x%=70270/10
(100/x)*x=(70270/10)*x       - we multiply both sides of the equation by x
100=7027*x       - we divide both sides of the equation by (7027) to get x
100/7027=x
0.014230823964708=x
x=0.014230823964708

now we have:
10 is 0.014230823964708% of 70270