71.63 is what percent of 117.83 - 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 117.83 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 117.83, so we can write it down as 100%=117.83.
4. We know, that x% equals 71.63 of the output value, so we can write it down as x%=71.63.
5. Now we have two simple equations:
1) 100%=117.83
2) x%=71.63
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%=117.83/71.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.63 is what percent of 117.83

100%/x%=117.83/71.63
(100/x)*x=(117.83/71.63)*x       - we multiply both sides of the equation by x
100=1.6449811531481*x       - we divide both sides of the equation by (1.6449811531481) to get x
100/1.6449811531481=x
60.790970041585=x
x=60.790970041585

now we have:
71.63 is 60.790970041585% of 117.83