867.6 is what percent of 946.34 - 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 946.34 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 946.34, so we can write it down as 100%=946.34.
4. We know, that x% equals 867.6 of the output value, so we can write it down as x%=867.6.
5. Now we have two simple equations:
1) 100%=946.34
2) x%=867.6
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%=946.34/867.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 867.6 is what percent of 946.34

100%/x%=946.34/867.6
(100/x)*x=(946.34/867.6)*x       - we multiply both sides of the equation by x
100=1.0907561088059*x       - we divide both sides of the equation by (1.0907561088059) to get x
100/1.0907561088059=x
91.679523215758=x
x=91.679523215758

now we have:
867.6 is 91.679523215758% of 946.34