70 is what percent of 46019 - 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 46019 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 46019, so we can write it down as 100%=46019.
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%=46019
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%=46019/70
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 46019

100%/x%=46019/70
(100/x)*x=(46019/70)*x       - we multiply both sides of the equation by x
100=657.41428571429*x       - we divide both sides of the equation by (657.41428571429) to get x
100/657.41428571429=x
0.15211108455203=x
x=0.15211108455203

now we have:
70 is 0.15211108455203% of 46019