0.78 is what percent of 1.94 - 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 1.94 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 1.94, so we can write it down as 100%=1.94.
4. We know, that x% equals 0.78 of the output value, so we can write it down as x%=0.78.
5. Now we have two simple equations:
1) 100%=1.94
2) x%=0.78
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%=1.94/0.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.78 is what percent of 1.94

100%/x%=1.94/0.78
(100/x)*x=(1.94/0.78)*x       - we multiply both sides of the equation by x
100=2.4871794871795*x       - we divide both sides of the equation by (2.4871794871795) to get x
100/2.4871794871795=x
40.20618556701=x
x=40.20618556701

now we have:
0.78 is 40.20618556701% of 1.94