0.05 is what percent of 1.88462 - 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 1.88462 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 1.88462, so we can write it down as 100%=1.88462.
4. We know, that x% equals 0.05 of the output value, so we can write it down as x%=0.05.
5. Now we have two simple equations:
1) 100%=1.88462
2) x%=0.05
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%=1.88462/0.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.05 is what percent of 1.88462

100%/x%=1.88462/0.05
(100/x)*x=(1.88462/0.05)*x       - we multiply both sides of the equation by x
100=37.6924*x       - we divide both sides of the equation by (37.6924) to get x
100/37.6924=x
2.6530547272129=x
x=2.6530547272129

now we have:
0.05 is 2.6530547272129% of 1.88462