2.18 is what percent of 46.42 - 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 46.42 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 46.42, so we can write it down as 100%=46.42.
4. We know, that x% equals 2.18 of the output value, so we can write it down as x%=2.18.
5. Now we have two simple equations:
1) 100%=46.42
2) x%=2.18
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%=46.42/2.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.18 is what percent of 46.42

100%/x%=46.42/2.18
(100/x)*x=(46.42/2.18)*x       - we multiply both sides of the equation by x
100=21.293577981651*x       - we divide both sides of the equation by (21.293577981651) to get x
100/21.293577981651=x
4.6962516156829=x
x=4.6962516156829

now we have:
2.18 is 4.6962516156829% of 46.42