3.8 is what percent of 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 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 87, so we can write it down as 100%=87.
4. We know, that x% equals 3.8 of the output value, so we can write it down as x%=3.8.
5. Now we have two simple equations:
1) 100%=87
2) x%=3.8
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%=87/3.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.8 is what percent of 87

100%/x%=87/3.8
(100/x)*x=(87/3.8)*x       - we multiply both sides of the equation by x
100=22.894736842105*x       - we divide both sides of the equation by (22.894736842105) to get x
100/22.894736842105=x
4.367816091954=x
x=4.367816091954

now we have:
3.8 is 4.367816091954% of 87