1.53 is what percent of 1.82 - 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 1.82 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 1.82, so we can write it down as 100%=1.82.
4. We know, that x% equals 1.53 of the output value, so we can write it down as x%=1.53.
5. Now we have two simple equations:
1) 100%=1.82
2) x%=1.53
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%=1.82/1.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.53 is what percent of 1.82

100%/x%=1.82/1.53
(100/x)*x=(1.82/1.53)*x       - we multiply both sides of the equation by x
100=1.1895424836601*x       - we divide both sides of the equation by (1.1895424836601) to get x
100/1.1895424836601=x
84.065934065934=x
x=84.065934065934

now we have:
1.53 is 84.065934065934% of 1.82