2.3 is what percent of 2.53 - 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 2.53 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 2.53, so we can write it down as 100%=2.53.
4. We know, that x% equals 2.3 of the output value, so we can write it down as x%=2.3.
5. Now we have two simple equations:
1) 100%=2.53
2) x%=2.3
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%=2.53/2.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.3 is what percent of 2.53

100%/x%=2.53/2.3
(100/x)*x=(2.53/2.3)*x       - we multiply both sides of the equation by x
100=1.1*x       - we divide both sides of the equation by (1.1) to get x
100/1.1=x
90.909090909091=x
x=90.909090909091

now we have:
2.3 is 90.909090909091% of 2.53