28.52 is what percent of 2.51 - 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 2.51 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 2.51, so we can write it down as 100%=2.51.
4. We know, that x% equals 28.52 of the output value, so we can write it down as x%=28.52.
5. Now we have two simple equations:
1) 100%=2.51
2) x%=28.52
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%=2.51/28.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.52 is what percent of 2.51

100%/x%=2.51/28.52
(100/x)*x=(2.51/28.52)*x       - we multiply both sides of the equation by x
100=0.088008415147265*x       - we divide both sides of the equation by (0.088008415147265) to get x
100/0.088008415147265=x
1136.2549800797=x
x=1136.2549800797

now we have:
28.52 is 1136.2549800797% of 2.51