14.09 is what percent of 70.46 - 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 70.46 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 70.46, so we can write it down as 100%=70.46.
4. We know, that x% equals 14.09 of the output value, so we can write it down as x%=14.09.
5. Now we have two simple equations:
1) 100%=70.46
2) x%=14.09
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%=70.46/14.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.09 is what percent of 70.46

100%/x%=70.46/14.09
(100/x)*x=(70.46/14.09)*x       - we multiply both sides of the equation by x
100=5.0007097232079*x       - we divide both sides of the equation by (5.0007097232079) to get x
100/5.0007097232079=x
19.997161510077=x
x=19.997161510077

now we have:
14.09 is 19.997161510077% of 70.46