55.23 is what percent of 71 - 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 71 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 71, so we can write it down as 100%=71.
4. We know, that x% equals 55.23 of the output value, so we can write it down as x%=55.23.
5. Now we have two simple equations:
1) 100%=71
2) x%=55.23
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%=71/55.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.23 is what percent of 71

100%/x%=71/55.23
(100/x)*x=(71/55.23)*x       - we multiply both sides of the equation by x
100=1.2855332246967*x       - we divide both sides of the equation by (1.2855332246967) to get x
100/1.2855332246967=x
77.788732394366=x
x=77.788732394366

now we have:
55.23 is 77.788732394366% of 71