What is 2.259 percent of 52.255 - 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 52.255 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 52.255 is 100%, so we can write it down as 52.255=100%.
4. We know, that x is 2.259% of the output value, so we can write it down as x=2.259%.
5. Now we have two simple equations:
1) 52.255=100%
2) x=2.259%
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:
52.255/x=100%/2.259%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 2.259% of 52.255

52.255/x=100/2.259
(52.255/x)*x=(100/2.259)*x       - we multiply both sides of the equation by x
52.255=44.267374944666*x       - we divide both sides of the equation by (44.267374944666) to get x
52.255/44.267374944666=x
1.18044045=x
x=1.18044045

now we have:
2.259% of 52.255=1.18044045