3.87 is what percent of 8.35 - 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 8.35 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 8.35, so we can write it down as 100%=8.35.
4. We know, that x% equals 3.87 of the output value, so we can write it down as x%=3.87.
5. Now we have two simple equations:
1) 100%=8.35
2) x%=3.87
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%=8.35/3.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.87 is what percent of 8.35

100%/x%=8.35/3.87
(100/x)*x=(8.35/3.87)*x       - we multiply both sides of the equation by x
100=2.1576227390181*x       - we divide both sides of the equation by (2.1576227390181) to get x
100/2.1576227390181=x
46.347305389222=x
x=46.347305389222

now we have:
3.87 is 46.347305389222% of 8.35