535.34 is what percent of 2545.82 - 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 2545.82 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 2545.82, so we can write it down as 100%=2545.82.
4. We know, that x% equals 535.34 of the output value, so we can write it down as x%=535.34.
5. Now we have two simple equations:
1) 100%=2545.82
2) x%=535.34
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%=2545.82/535.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 535.34 is what percent of 2545.82

100%/x%=2545.82/535.34
(100/x)*x=(2545.82/535.34)*x       - we multiply both sides of the equation by x
100=4.7555198565398*x       - we divide both sides of the equation by (4.7555198565398) to get x
100/4.7555198565398=x
21.028195237684=x
x=21.028195237684

now we have:
535.34 is 21.028195237684% of 2545.82