70 is what percent of 1045 - 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 1045 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 1045, so we can write it down as 100%=1045.
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%=1045
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%=1045/70
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 1045

100%/x%=1045/70
(100/x)*x=(1045/70)*x       - we multiply both sides of the equation by x
100=14.928571428571*x       - we divide both sides of the equation by (14.928571428571) to get x
100/14.928571428571=x
6.6985645933014=x
x=6.6985645933014

now we have:
70 is 6.6985645933014% of 1045