71.49 is what percent of 4.2 - 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 4.2 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 4.2, so we can write it down as 100%=4.2.
4. We know, that x% equals 71.49 of the output value, so we can write it down as x%=71.49.
5. Now we have two simple equations:
1) 100%=4.2
2) x%=71.49
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%=4.2/71.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.49 is what percent of 4.2

100%/x%=4.2/71.49
(100/x)*x=(4.2/71.49)*x       - we multiply both sides of the equation by x
100=0.058749475451112*x       - we divide both sides of the equation by (0.058749475451112) to get x
100/0.058749475451112=x
1702.1428571429=x
x=1702.1428571429

now we have:
71.49 is 1702.1428571429% of 4.2