2.58 is what percent of 53.33 - 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 53.33 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 53.33, so we can write it down as 100%=53.33.
4. We know, that x% equals 2.58 of the output value, so we can write it down as x%=2.58.
5. Now we have two simple equations:
1) 100%=53.33
2) x%=2.58
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%=53.33/2.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.58 is what percent of 53.33

100%/x%=53.33/2.58
(100/x)*x=(53.33/2.58)*x       - we multiply both sides of the equation by x
100=20.670542635659*x       - we divide both sides of the equation by (20.670542635659) to get x
100/20.670542635659=x
4.8378023626477=x
x=4.8378023626477

now we have:
2.58 is 4.8378023626477% of 53.33