71.46 is what percent of 1705.63 - 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 1705.63 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 1705.63, so we can write it down as 100%=1705.63.
4. We know, that x% equals 71.46 of the output value, so we can write it down as x%=71.46.
5. Now we have two simple equations:
1) 100%=1705.63
2) x%=71.46
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%=1705.63/71.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.46 is what percent of 1705.63

100%/x%=1705.63/71.46
(100/x)*x=(1705.63/71.46)*x       - we multiply both sides of the equation by x
100=23.868317940106*x       - we divide both sides of the equation by (23.868317940106) to get x
100/23.868317940106=x
4.1896542626478=x
x=4.1896542626478

now we have:
71.46 is 4.1896542626478% of 1705.63