What is 64.9 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 2.3 is 100%, so we can write it down as 2.3=100%.
4. We know, that x is 64.9% of the output value, so we can write it down as x=64.9%.
5. Now we have two simple equations:
1) 2.3=100%
2) x=64.9%
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:
2.3/x=100%/64.9%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 64.9% of 2.3

2.3/x=100/64.9
(2.3/x)*x=(100/64.9)*x       - we multiply both sides of the equation by x
2.3=1.54083204931*x       - we divide both sides of the equation by (1.54083204931) to get x
2.3/1.54083204931=x
1.4927=x
x=1.4927

now we have:
64.9% of 2.3=1.4927