85.05 is what percent of 312.25 - 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 312.25 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 312.25, so we can write it down as 100%=312.25.
4. We know, that x% equals 85.05 of the output value, so we can write it down as x%=85.05.
5. Now we have two simple equations:
1) 100%=312.25
2) x%=85.05
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%=312.25/85.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.05 is what percent of 312.25

100%/x%=312.25/85.05
(100/x)*x=(312.25/85.05)*x       - we multiply both sides of the equation by x
100=3.6713697824809*x       - we divide both sides of the equation by (3.6713697824809) to get x
100/3.6713697824809=x
27.237790232186=x
x=27.237790232186

now we have:
85.05 is 27.237790232186% of 312.25