275.73 is what percent of 1562.67 - 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 1562.67 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 1562.67, so we can write it down as 100%=1562.67.
4. We know, that x% equals 275.73 of the output value, so we can write it down as x%=275.73.
5. Now we have two simple equations:
1) 100%=1562.67
2) x%=275.73
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%=1562.67/275.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 275.73 is what percent of 1562.67

100%/x%=1562.67/275.73
(100/x)*x=(1562.67/275.73)*x       - we multiply both sides of the equation by x
100=5.6673920139267*x       - we divide both sides of the equation by (5.6673920139267) to get x
100/5.6673920139267=x
17.644800245733=x
x=17.644800245733

now we have:
275.73 is 17.644800245733% of 1562.67