83.88 is what percent of 182.82 - 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 182.82 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 182.82, so we can write it down as 100%=182.82.
4. We know, that x% equals 83.88 of the output value, so we can write it down as x%=83.88.
5. Now we have two simple equations:
1) 100%=182.82
2) x%=83.88
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%=182.82/83.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.88 is what percent of 182.82

100%/x%=182.82/83.88
(100/x)*x=(182.82/83.88)*x       - we multiply both sides of the equation by x
100=2.1795422031474*x       - we divide both sides of the equation by (2.1795422031474) to get x
100/2.1795422031474=x
45.881194617657=x
x=45.881194617657

now we have:
83.88 is 45.881194617657% of 182.82