51.23 is what percent of 971.76 - 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 971.76 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 971.76, so we can write it down as 100%=971.76.
4. We know, that x% equals 51.23 of the output value, so we can write it down as x%=51.23.
5. Now we have two simple equations:
1) 100%=971.76
2) x%=51.23
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%=971.76/51.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.23 is what percent of 971.76

100%/x%=971.76/51.23
(100/x)*x=(971.76/51.23)*x       - we multiply both sides of the equation by x
100=18.968573101698*x       - we divide both sides of the equation by (18.968573101698) to get x
100/18.968573101698=x
5.2718778299169=x
x=5.2718778299169

now we have:
51.23 is 5.2718778299169% of 971.76