2.14 is what percent of 52.69 - 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 52.69 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 52.69, so we can write it down as 100%=52.69.
4. We know, that x% equals 2.14 of the output value, so we can write it down as x%=2.14.
5. Now we have two simple equations:
1) 100%=52.69
2) x%=2.14
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%=52.69/2.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.14 is what percent of 52.69

100%/x%=52.69/2.14
(100/x)*x=(52.69/2.14)*x       - we multiply both sides of the equation by x
100=24.621495327103*x       - we divide both sides of the equation by (24.621495327103) to get x
100/24.621495327103=x
4.061491744164=x
x=4.061491744164

now we have:
2.14 is 4.061491744164% of 52.69