0.78 is what percent of 4.6 - 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 4.6 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 4.6, so we can write it down as 100%=4.6.
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%=4.6
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%=4.6/0.78
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 4.6

100%/x%=4.6/0.78
(100/x)*x=(4.6/0.78)*x       - we multiply both sides of the equation by x
100=5.8974358974359*x       - we divide both sides of the equation by (5.8974358974359) to get x
100/5.8974358974359=x
16.95652173913=x
x=16.95652173913

now we have:
0.78 is 16.95652173913% of 4.6