89376 is what percent of 106920 - 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 106920 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 106920, so we can write it down as 100%=106920.
4. We know, that x% equals 89376 of the output value, so we can write it down as x%=89376.
5. Now we have two simple equations:
1) 100%=106920
2) x%=89376
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%=106920/89376
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89376 is what percent of 106920

100%/x%=106920/89376
(100/x)*x=(106920/89376)*x       - we multiply both sides of the equation by x
100=1.1962943071966*x       - we divide both sides of the equation by (1.1962943071966) to get x
100/1.1962943071966=x
83.591470258137=x
x=83.591470258137

now we have:
89376 is 83.591470258137% of 106920