899.5 is what percent of 1607.5 - 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 1607.5 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 1607.5, so we can write it down as 100%=1607.5.
4. We know, that x% equals 899.5 of the output value, so we can write it down as x%=899.5.
5. Now we have two simple equations:
1) 100%=1607.5
2) x%=899.5
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%=1607.5/899.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 899.5 is what percent of 1607.5

100%/x%=1607.5/899.5
(100/x)*x=(1607.5/899.5)*x       - we multiply both sides of the equation by x
100=1.787103946637*x       - we divide both sides of the equation by (1.787103946637) to get x
100/1.787103946637=x
55.956454121306=x
x=55.956454121306

now we have:
899.5 is 55.956454121306% of 1607.5