1.82 is what percent of 2.62 - 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 2.62 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 2.62, so we can write it down as 100%=2.62.
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%=2.62
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%=2.62/1.82
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 2.62

100%/x%=2.62/1.82
(100/x)*x=(2.62/1.82)*x       - we multiply both sides of the equation by x
100=1.4395604395604*x       - we divide both sides of the equation by (1.4395604395604) to get x
100/1.4395604395604=x
69.465648854962=x
x=69.465648854962

now we have:
1.82 is 69.465648854962% of 2.62