0.99 is what percent of 105.71 - 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 105.71 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 105.71, so we can write it down as 100%=105.71.
4. We know, that x% equals 0.99 of the output value, so we can write it down as x%=0.99.
5. Now we have two simple equations:
1) 100%=105.71
2) x%=0.99
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%=105.71/0.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.99 is what percent of 105.71

100%/x%=105.71/0.99
(100/x)*x=(105.71/0.99)*x       - we multiply both sides of the equation by x
100=106.77777777778*x       - we divide both sides of the equation by (106.77777777778) to get x
100/106.77777777778=x
0.93652445369407=x
x=0.93652445369407

now we have:
0.99 is 0.93652445369407% of 105.71