1.78 is what percent of 2.54 - 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 2.54 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 2.54, so we can write it down as 100%=2.54.
4. We know, that x% equals 1.78 of the output value, so we can write it down as x%=1.78.
5. Now we have two simple equations:
1) 100%=2.54
2) x%=1.78
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%=2.54/1.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.78 is what percent of 2.54

100%/x%=2.54/1.78
(100/x)*x=(2.54/1.78)*x       - we multiply both sides of the equation by x
100=1.4269662921348*x       - we divide both sides of the equation by (1.4269662921348) to get x
100/1.4269662921348=x
70.07874015748=x
x=70.07874015748

now we have:
1.78 is 70.07874015748% of 2.54