84.36 is what percent of 562.48 - 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 562.48 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 562.48, so we can write it down as 100%=562.48.
4. We know, that x% equals 84.36 of the output value, so we can write it down as x%=84.36.
5. Now we have two simple equations:
1) 100%=562.48
2) x%=84.36
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%=562.48/84.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.36 is what percent of 562.48

100%/x%=562.48/84.36
(100/x)*x=(562.48/84.36)*x       - we multiply both sides of the equation by x
100=6.6676149834045*x       - we divide both sides of the equation by (6.6676149834045) to get x
100/6.6676149834045=x
14.997866590812=x
x=14.997866590812

now we have:
84.36 is 14.997866590812% of 562.48