53 is what percent of 2667.5 - 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 2667.5 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 2667.5, so we can write it down as 100%=2667.5.
4. We know, that x% equals 53 of the output value, so we can write it down as x%=53.
5. Now we have two simple equations:
1) 100%=2667.5
2) x%=53
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%=2667.5/53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53 is what percent of 2667.5

100%/x%=2667.5/53
(100/x)*x=(2667.5/53)*x       - we multiply both sides of the equation by x
100=50.330188679245*x       - we divide both sides of the equation by (50.330188679245) to get x
100/50.330188679245=x
1.9868791002812=x
x=1.9868791002812

now we have:
53 is 1.9868791002812% of 2667.5