1.82 is what percent of 40.765 - 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 40.765 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 40.765, so we can write it down as 100%=40.765.
4. We know, that x% equals 1.82 of the output value, so we can write it down as x%=1.82.
5. Now we have two simple equations:
1) 100%=40.765
2) x%=1.82
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%=40.765/1.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.82 is what percent of 40.765

100%/x%=40.765/1.82
(100/x)*x=(40.765/1.82)*x       - we multiply both sides of the equation by x
100=22.398351648352*x       - we divide both sides of the equation by (22.398351648352) to get x
100/22.398351648352=x
4.4646142524224=x
x=4.4646142524224

now we have:
1.82 is 4.4646142524224% of 40.765