71.54 is what percent of 1662.25 - 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 1662.25 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 1662.25, so we can write it down as 100%=1662.25.
4. We know, that x% equals 71.54 of the output value, so we can write it down as x%=71.54.
5. Now we have two simple equations:
1) 100%=1662.25
2) x%=71.54
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%=1662.25/71.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.54 is what percent of 1662.25

100%/x%=1662.25/71.54
(100/x)*x=(1662.25/71.54)*x       - we multiply both sides of the equation by x
100=23.235253005312*x       - we divide both sides of the equation by (23.235253005312) to get x
100/23.235253005312=x
4.3038050834712=x
x=4.3038050834712

now we have:
71.54 is 4.3038050834712% of 1662.25