52 is what percent of 1074 - 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 1074 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 1074, so we can write it down as 100%=1074.
4. We know, that x% equals 52 of the output value, so we can write it down as x%=52.
5. Now we have two simple equations:
1) 100%=1074
2) x%=52
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%=1074/52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52 is what percent of 1074

100%/x%=1074/52
(100/x)*x=(1074/52)*x       - we multiply both sides of the equation by x
100=20.653846153846*x       - we divide both sides of the equation by (20.653846153846) to get x
100/20.653846153846=x
4.8417132216015=x
x=4.8417132216015

now we have:
52 is 4.8417132216015% of 1074