53.2 is what percent of 1775 - 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 1775 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 1775, so we can write it down as 100%=1775.
4. We know, that x% equals 53.2 of the output value, so we can write it down as x%=53.2.
5. Now we have two simple equations:
1) 100%=1775
2) x%=53.2
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%=1775/53.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.2 is what percent of 1775

100%/x%=1775/53.2
(100/x)*x=(1775/53.2)*x       - we multiply both sides of the equation by x
100=33.364661654135*x       - we divide both sides of the equation by (33.364661654135) to get x
100/33.364661654135=x
2.9971830985915=x
x=2.9971830985915

now we have:
53.2 is 2.9971830985915% of 1775