85 is what percent of 1299 - 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 1299 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 1299, so we can write it down as 100%=1299.
4. We know, that x% equals 85 of the output value, so we can write it down as x%=85.
5. Now we have two simple equations:
1) 100%=1299
2) x%=85
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%=1299/85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85 is what percent of 1299

100%/x%=1299/85
(100/x)*x=(1299/85)*x       - we multiply both sides of the equation by x
100=15.282352941176*x       - we divide both sides of the equation by (15.282352941176) to get x
100/15.282352941176=x
6.5434949961509=x
x=6.5434949961509

now we have:
85 is 6.5434949961509% of 1299