83.5 is what percent of 946 - 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 946 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 946, so we can write it down as 100%=946.
4. We know, that x% equals 83.5 of the output value, so we can write it down as x%=83.5.
5. Now we have two simple equations:
1) 100%=946
2) x%=83.5
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%=946/83.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.5 is what percent of 946

100%/x%=946/83.5
(100/x)*x=(946/83.5)*x       - we multiply both sides of the equation by x
100=11.329341317365*x       - we divide both sides of the equation by (11.329341317365) to get x
100/11.329341317365=x
8.8266384778013=x
x=8.8266384778013

now we have:
83.5 is 8.8266384778013% of 946