797.42 is what percent of 894 - 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 894 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 894, so we can write it down as 100%=894.
4. We know, that x% equals 797.42 of the output value, so we can write it down as x%=797.42.
5. Now we have two simple equations:
1) 100%=894
2) x%=797.42
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%=894/797.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 797.42 is what percent of 894

100%/x%=894/797.42
(100/x)*x=(894/797.42)*x       - we multiply both sides of the equation by x
100=1.1211155978029*x       - we divide both sides of the equation by (1.1211155978029) to get x
100/1.1211155978029=x
89.196868008949=x
x=89.196868008949

now we have:
797.42 is 89.196868008949% of 894