1.51 is what percent of 2.29 - 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 2.29 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 2.29, so we can write it down as 100%=2.29.
4. We know, that x% equals 1.51 of the output value, so we can write it down as x%=1.51.
5. Now we have two simple equations:
1) 100%=2.29
2) x%=1.51
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%=2.29/1.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.51 is what percent of 2.29

100%/x%=2.29/1.51
(100/x)*x=(2.29/1.51)*x       - we multiply both sides of the equation by x
100=1.5165562913907*x       - we divide both sides of the equation by (1.5165562913907) to get x
100/1.5165562913907=x
65.938864628821=x
x=65.938864628821

now we have:
1.51 is 65.938864628821% of 2.29