251.98 is what percent of 899.99 - 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 899.99 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 899.99, so we can write it down as 100%=899.99.
4. We know, that x% equals 251.98 of the output value, so we can write it down as x%=251.98.
5. Now we have two simple equations:
1) 100%=899.99
2) x%=251.98
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%=899.99/251.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 251.98 is what percent of 899.99

100%/x%=899.99/251.98
(100/x)*x=(899.99/251.98)*x       - we multiply both sides of the equation by x
100=3.5716723549488*x       - we divide both sides of the equation by (3.5716723549488) to get x
100/3.5716723549488=x
27.998088867654=x
x=27.998088867654

now we have:
251.98 is 27.998088867654% of 899.99