2.51 is what percent of 35.89 - 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 35.89 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 35.89, so we can write it down as 100%=35.89.
4. We know, that x% equals 2.51 of the output value, so we can write it down as x%=2.51.
5. Now we have two simple equations:
1) 100%=35.89
2) x%=2.51
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%=35.89/2.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.51 is what percent of 35.89

100%/x%=35.89/2.51
(100/x)*x=(35.89/2.51)*x       - we multiply both sides of the equation by x
100=14.298804780876*x       - we divide both sides of the equation by (14.298804780876) to get x
100/14.298804780876=x
6.993591529674=x
x=6.993591529674

now we have:
2.51 is 6.993591529674% of 35.89