2.64 is what percent of 52.78 - 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 52.78 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 52.78, so we can write it down as 100%=52.78.
4. We know, that x% equals 2.64 of the output value, so we can write it down as x%=2.64.
5. Now we have two simple equations:
1) 100%=52.78
2) x%=2.64
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%=52.78/2.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.64 is what percent of 52.78

100%/x%=52.78/2.64
(100/x)*x=(52.78/2.64)*x       - we multiply both sides of the equation by x
100=19.992424242424*x       - we divide both sides of the equation by (19.992424242424) to get x
100/19.992424242424=x
5.0018946570671=x
x=5.0018946570671

now we have:
2.64 is 5.0018946570671% of 52.78