177.5 is what percent of 1800 - 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 1800 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 1800, so we can write it down as 100%=1800.
4. We know, that x% equals 177.5 of the output value, so we can write it down as x%=177.5.
5. Now we have two simple equations:
1) 100%=1800
2) x%=177.5
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%=1800/177.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 177.5 is what percent of 1800

100%/x%=1800/177.5
(100/x)*x=(1800/177.5)*x       - we multiply both sides of the equation by x
100=10.140845070423*x       - we divide both sides of the equation by (10.140845070423) to get x
100/10.140845070423=x
9.8611111111111=x
x=9.8611111111111

now we have:
177.5 is 9.8611111111111% of 1800