146.34 is what percent of 878.05 - 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 878.05 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 878.05, so we can write it down as 100%=878.05.
4. We know, that x% equals 146.34 of the output value, so we can write it down as x%=146.34.
5. Now we have two simple equations:
1) 100%=878.05
2) x%=146.34
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%=878.05/146.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 146.34 is what percent of 878.05

100%/x%=878.05/146.34
(100/x)*x=(878.05/146.34)*x       - we multiply both sides of the equation by x
100=6.0000683340167*x       - we divide both sides of the equation by (6.0000683340167) to get x
100/6.0000683340167=x
16.666476852115=x
x=16.666476852115

now we have:
146.34 is 16.666476852115% of 878.05