0.72 is what percent of 2.3 - 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 2.3 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 2.3, so we can write it down as 100%=2.3.
4. We know, that x% equals 0.72 of the output value, so we can write it down as x%=0.72.
5. Now we have two simple equations:
1) 100%=2.3
2) x%=0.72
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%=2.3/0.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.72 is what percent of 2.3

100%/x%=2.3/0.72
(100/x)*x=(2.3/0.72)*x       - we multiply both sides of the equation by x
100=3.1944444444444*x       - we divide both sides of the equation by (3.1944444444444) to get x
100/3.1944444444444=x
31.304347826087=x
x=31.304347826087

now we have:
0.72 is 31.304347826087% of 2.3