52 is what percent of 4323 - 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 4323 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 4323, so we can write it down as 100%=4323.
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%=4323
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%=4323/52
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 4323

100%/x%=4323/52
(100/x)*x=(4323/52)*x       - we multiply both sides of the equation by x
100=83.134615384615*x       - we divide both sides of the equation by (83.134615384615) to get x
100/83.134615384615=x
1.2028683784409=x
x=1.2028683784409

now we have:
52 is 1.2028683784409% of 4323