1637.66 is what percent of 1816 - 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 1816 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 1816, so we can write it down as 100%=1816.
4. We know, that x% equals 1637.66 of the output value, so we can write it down as x%=1637.66.
5. Now we have two simple equations:
1) 100%=1816
2) x%=1637.66
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%=1816/1637.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1637.66 is what percent of 1816

100%/x%=1816/1637.66
(100/x)*x=(1816/1637.66)*x       - we multiply both sides of the equation by x
100=1.1088992831235*x       - we divide both sides of the equation by (1.1088992831235) to get x
100/1.1088992831235=x
90.179515418502=x
x=90.179515418502

now we have:
1637.66 is 90.179515418502% of 1816