3.87 is what percent of 7.87 - 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 7.87 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 7.87, so we can write it down as 100%=7.87.
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%=7.87
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%=7.87/3.87
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 7.87

100%/x%=7.87/3.87
(100/x)*x=(7.87/3.87)*x       - we multiply both sides of the equation by x
100=2.0335917312661*x       - we divide both sides of the equation by (2.0335917312661) to get x
100/2.0335917312661=x
49.174078780178=x
x=49.174078780178

now we have:
3.87 is 49.174078780178% of 7.87