83.3 is what percent of 5967.9 - 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 5967.9 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 5967.9, so we can write it down as 100%=5967.9.
4. We know, that x% equals 83.3 of the output value, so we can write it down as x%=83.3.
5. Now we have two simple equations:
1) 100%=5967.9
2) x%=83.3
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%=5967.9/83.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.3 is what percent of 5967.9

100%/x%=5967.9/83.3
(100/x)*x=(5967.9/83.3)*x       - we multiply both sides of the equation by x
100=71.643457382953*x       - we divide both sides of the equation by (71.643457382953) to get x
100/71.643457382953=x
1.395800867977=x
x=1.395800867977

now we have:
83.3 is 1.395800867977% of 5967.9