4.21 is what percent of 0.105095 - 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 0.105095 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 0.105095, so we can write it down as 100%=0.105095.
4. We know, that x% equals 4.21 of the output value, so we can write it down as x%=4.21.
5. Now we have two simple equations:
1) 100%=0.105095
2) x%=4.21
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%=0.105095/4.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.21 is what percent of 0.105095

100%/x%=0.105095/4.21
(100/x)*x=(0.105095/4.21)*x       - we multiply both sides of the equation by x
100=0.024963182897862*x       - we divide both sides of the equation by (0.024963182897862) to get x
100/0.024963182897862=x
4005.8994243304=x
x=4005.8994243304

now we have:
4.21 is 4005.8994243304% of 0.105095