253.63 is what percent of 980.7 - 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 980.7 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 980.7, so we can write it down as 100%=980.7.
4. We know, that x% equals 253.63 of the output value, so we can write it down as x%=253.63.
5. Now we have two simple equations:
1) 100%=980.7
2) x%=253.63
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%=980.7/253.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 253.63 is what percent of 980.7

100%/x%=980.7/253.63
(100/x)*x=(980.7/253.63)*x       - we multiply both sides of the equation by x
100=3.8666561526633*x       - we divide both sides of the equation by (3.8666561526633) to get x
100/3.8666561526633=x
25.862139288263=x
x=25.862139288263

now we have:
253.63 is 25.862139288263% of 980.7