4.26 is what percent of 86.78 - 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 86.78 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 86.78, so we can write it down as 100%=86.78.
4. We know, that x% equals 4.26 of the output value, so we can write it down as x%=4.26.
5. Now we have two simple equations:
1) 100%=86.78
2) x%=4.26
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%=86.78/4.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.26 is what percent of 86.78

100%/x%=86.78/4.26
(100/x)*x=(86.78/4.26)*x       - we multiply both sides of the equation by x
100=20.370892018779*x       - we divide both sides of the equation by (20.370892018779) to get x
100/20.370892018779=x
4.9089651993547=x
x=4.9089651993547

now we have:
4.26 is 4.9089651993547% of 86.78