823.4 is what percent of 925.06 - 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 925.06 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 925.06, so we can write it down as 100%=925.06.
4. We know, that x% equals 823.4 of the output value, so we can write it down as x%=823.4.
5. Now we have two simple equations:
1) 100%=925.06
2) x%=823.4
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%=925.06/823.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 823.4 is what percent of 925.06

100%/x%=925.06/823.4
(100/x)*x=(925.06/823.4)*x       - we multiply both sides of the equation by x
100=1.1234636871508*x       - we divide both sides of the equation by (1.1234636871508) to get x
100/1.1234636871508=x
89.010442565888=x
x=89.010442565888

now we have:
823.4 is 89.010442565888% of 925.06