7 is what percent of 5233 - 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 5233 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 5233, so we can write it down as 100%=5233.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=5233
2) x%=7
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%=5233/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 5233

100%/x%=5233/7
(100/x)*x=(5233/7)*x       - we multiply both sides of the equation by x
100=747.57142857143*x       - we divide both sides of the equation by (747.57142857143) to get x
100/747.57142857143=x
0.13376648194152=x
x=0.13376648194152

now we have:
7 is 0.13376648194152% of 5233