561.42 is what percent of 524.69 - 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 524.69 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 524.69, so we can write it down as 100%=524.69.
4. We know, that x% equals 561.42 of the output value, so we can write it down as x%=561.42.
5. Now we have two simple equations:
1) 100%=524.69
2) x%=561.42
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%=524.69/561.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 561.42 is what percent of 524.69

100%/x%=524.69/561.42
(100/x)*x=(524.69/561.42)*x       - we multiply both sides of the equation by x
100=0.9345766093121*x       - we divide both sides of the equation by (0.9345766093121) to get x
100/0.9345766093121=x
107.00032400084=x
x=107.00032400084

now we have:
561.42 is 107.00032400084% of 524.69