2.07 is what percent of 85.4 - 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 85.4 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 85.4, so we can write it down as 100%=85.4.
4. We know, that x% equals 2.07 of the output value, so we can write it down as x%=2.07.
5. Now we have two simple equations:
1) 100%=85.4
2) x%=2.07
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%=85.4/2.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.07 is what percent of 85.4

100%/x%=85.4/2.07
(100/x)*x=(85.4/2.07)*x       - we multiply both sides of the equation by x
100=41.256038647343*x       - we divide both sides of the equation by (41.256038647343) to get x
100/41.256038647343=x
2.423887587822=x
x=2.423887587822

now we have:
2.07 is 2.423887587822% of 85.4