1522.34 is what percent of 1478 - 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 1478 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 1478, so we can write it down as 100%=1478.
4. We know, that x% equals 1522.34 of the output value, so we can write it down as x%=1522.34.
5. Now we have two simple equations:
1) 100%=1478
2) x%=1522.34
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%=1478/1522.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1522.34 is what percent of 1478

100%/x%=1478/1522.34
(100/x)*x=(1478/1522.34)*x       - we multiply both sides of the equation by x
100=0.97087378640777*x       - we divide both sides of the equation by (0.97087378640777) to get x
100/0.97087378640777=x
103=x
x=103

now we have:
1522.34 is 103% of 1478