148.8 is what percent of 836.2 - 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 836.2 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 836.2, so we can write it down as 100%=836.2.
4. We know, that x% equals 148.8 of the output value, so we can write it down as x%=148.8.
5. Now we have two simple equations:
1) 100%=836.2
2) x%=148.8
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%=836.2/148.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.8 is what percent of 836.2

100%/x%=836.2/148.8
(100/x)*x=(836.2/148.8)*x       - we multiply both sides of the equation by x
100=5.619623655914*x       - we divide both sides of the equation by (5.619623655914) to get x
100/5.619623655914=x
17.794785936379=x
x=17.794785936379

now we have:
148.8 is 17.794785936379% of 836.2