99.99 is what percent of 171.34 - 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 171.34 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 171.34, so we can write it down as 100%=171.34.
4. We know, that x% equals 99.99 of the output value, so we can write it down as x%=99.99.
5. Now we have two simple equations:
1) 100%=171.34
2) x%=99.99
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%=171.34/99.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.99 is what percent of 171.34

100%/x%=171.34/99.99
(100/x)*x=(171.34/99.99)*x       - we multiply both sides of the equation by x
100=1.7135713571357*x       - we divide both sides of the equation by (1.7135713571357) to get x
100/1.7135713571357=x
58.357651453251=x
x=58.357651453251

now we have:
99.99 is 58.357651453251% of 171.34