148.15 is what percent of 874.72 - 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 874.72 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 874.72, so we can write it down as 100%=874.72.
4. We know, that x% equals 148.15 of the output value, so we can write it down as x%=148.15.
5. Now we have two simple equations:
1) 100%=874.72
2) x%=148.15
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%=874.72/148.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 148.15 is what percent of 874.72

100%/x%=874.72/148.15
(100/x)*x=(874.72/148.15)*x       - we multiply both sides of the equation by x
100=5.9042861964225*x       - we divide both sides of the equation by (5.9042861964225) to get x
100/5.9042861964225=x
16.936848362905=x
x=16.936848362905

now we have:
148.15 is 16.936848362905% of 874.72