147.15 is what percent of 807.8 - 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 807.8 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 807.8, so we can write it down as 100%=807.8.
4. We know, that x% equals 147.15 of the output value, so we can write it down as x%=147.15.
5. Now we have two simple equations:
1) 100%=807.8
2) x%=147.15
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%=807.8/147.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 147.15 is what percent of 807.8

100%/x%=807.8/147.15
(100/x)*x=(807.8/147.15)*x       - we multiply both sides of the equation by x
100=5.4896364254162*x       - we divide both sides of the equation by (5.4896364254162) to get x
100/5.4896364254162=x
18.216142609557=x
x=18.216142609557

now we have:
147.15 is 18.216142609557% of 807.8