0.71 is what percent of 105.55 - 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 105.55 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 105.55, so we can write it down as 100%=105.55.
4. We know, that x% equals 0.71 of the output value, so we can write it down as x%=0.71.
5. Now we have two simple equations:
1) 100%=105.55
2) x%=0.71
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%=105.55/0.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.71 is what percent of 105.55

100%/x%=105.55/0.71
(100/x)*x=(105.55/0.71)*x       - we multiply both sides of the equation by x
100=148.66197183099*x       - we divide both sides of the equation by (148.66197183099) to get x
100/148.66197183099=x
0.67266698247276=x
x=0.67266698247276

now we have:
0.71 is 0.67266698247276% of 105.55