76.3 is what percent of 182 - 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 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, so we can write it down as 100%=182.
4. We know, that x% equals 76.3 of the output value, so we can write it down as x%=76.3.
5. Now we have two simple equations:
1) 100%=182
2) x%=76.3
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%=182/76.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.3 is what percent of 182

100%/x%=182/76.3
(100/x)*x=(182/76.3)*x       - we multiply both sides of the equation by x
100=2.3853211009174*x       - we divide both sides of the equation by (2.3853211009174) to get x
100/2.3853211009174=x
41.923076923077=x
x=41.923076923077

now we have:
76.3 is 41.923076923077% of 182