83.53 is what percent of 727.18 - 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 727.18 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 727.18, so we can write it down as 100%=727.18.
4. We know, that x% equals 83.53 of the output value, so we can write it down as x%=83.53.
5. Now we have two simple equations:
1) 100%=727.18
2) x%=83.53
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%=727.18/83.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.53 is what percent of 727.18

100%/x%=727.18/83.53
(100/x)*x=(727.18/83.53)*x       - we multiply both sides of the equation by x
100=8.7056147491919*x       - we divide both sides of the equation by (8.7056147491919) to get x
100/8.7056147491919=x
11.486839572045=x
x=11.486839572045

now we have:
83.53 is 11.486839572045% of 727.18