531.86 is what percent of 2700 - 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 2700 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 2700, so we can write it down as 100%=2700.
4. We know, that x% equals 531.86 of the output value, so we can write it down as x%=531.86.
5. Now we have two simple equations:
1) 100%=2700
2) x%=531.86
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%=2700/531.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 531.86 is what percent of 2700

100%/x%=2700/531.86
(100/x)*x=(2700/531.86)*x       - we multiply both sides of the equation by x
100=5.0765238972662*x       - we divide both sides of the equation by (5.0765238972662) to get x
100/5.0765238972662=x
19.698518518519=x
x=19.698518518519

now we have:
531.86 is 19.698518518519% of 2700