923.15 is what percent of 5228.75 - 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 5228.75 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 5228.75, so we can write it down as 100%=5228.75.
4. We know, that x% equals 923.15 of the output value, so we can write it down as x%=923.15.
5. Now we have two simple equations:
1) 100%=5228.75
2) x%=923.15
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%=5228.75/923.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 923.15 is what percent of 5228.75

100%/x%=5228.75/923.15
(100/x)*x=(5228.75/923.15)*x       - we multiply both sides of the equation by x
100=5.6640307642312*x       - we divide both sides of the equation by (5.6640307642312) to get x
100/5.6640307642312=x
17.655271336361=x
x=17.655271336361

now we have:
923.15 is 17.655271336361% of 5228.75