40.7 is what percent of 70 - 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 70 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 70, so we can write it down as 100%=70.
4. We know, that x% equals 40.7 of the output value, so we can write it down as x%=40.7.
5. Now we have two simple equations:
1) 100%=70
2) x%=40.7
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%=70/40.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.7 is what percent of 70

100%/x%=70/40.7
(100/x)*x=(70/40.7)*x       - we multiply both sides of the equation by x
100=1.7199017199017*x       - we divide both sides of the equation by (1.7199017199017) to get x
100/1.7199017199017=x
58.142857142857=x
x=58.142857142857

now we have:
40.7 is 58.142857142857% of 70