933.4 is what percent of 5874.36 - 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 5874.36 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 5874.36, so we can write it down as 100%=5874.36.
4. We know, that x% equals 933.4 of the output value, so we can write it down as x%=933.4.
5. Now we have two simple equations:
1) 100%=5874.36
2) x%=933.4
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%=5874.36/933.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 933.4 is what percent of 5874.36

100%/x%=5874.36/933.4
(100/x)*x=(5874.36/933.4)*x       - we multiply both sides of the equation by x
100=6.2935076065995*x       - we divide both sides of the equation by (6.2935076065995) to get x
100/6.2935076065995=x
15.889390503817=x
x=15.889390503817

now we have:
933.4 is 15.889390503817% of 5874.36