270.24 is what percent of 850.24 - 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 850.24 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 850.24, so we can write it down as 100%=850.24.
4. We know, that x% equals 270.24 of the output value, so we can write it down as x%=270.24.
5. Now we have two simple equations:
1) 100%=850.24
2) x%=270.24
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%=850.24/270.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 270.24 is what percent of 850.24

100%/x%=850.24/270.24
(100/x)*x=(850.24/270.24)*x       - we multiply both sides of the equation by x
100=3.1462403789224*x       - we divide both sides of the equation by (3.1462403789224) to get x
100/3.1462403789224=x
31.78396687994=x
x=31.78396687994

now we have:
270.24 is 31.78396687994% of 850.24