8500.46 is what percent of 242991.25 - 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 242991.25 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 242991.25, so we can write it down as 100%=242991.25.
4. We know, that x% equals 8500.46 of the output value, so we can write it down as x%=8500.46.
5. Now we have two simple equations:
1) 100%=242991.25
2) x%=8500.46
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%=242991.25/8500.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8500.46 is what percent of 242991.25

100%/x%=242991.25/8500.46
(100/x)*x=(242991.25/8500.46)*x       - we multiply both sides of the equation by x
100=28.585658893754*x       - we divide both sides of the equation by (28.585658893754) to get x
100/28.585658893754=x
3.4982576533106=x
x=3.4982576533106

now we have:
8500.46 is 3.4982576533106% of 242991.25