1.03 is what percent of 51.33 - 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 51.33 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 51.33, so we can write it down as 100%=51.33.
4. We know, that x% equals 1.03 of the output value, so we can write it down as x%=1.03.
5. Now we have two simple equations:
1) 100%=51.33
2) x%=1.03
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%=51.33/1.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.03 is what percent of 51.33

100%/x%=51.33/1.03
(100/x)*x=(51.33/1.03)*x       - we multiply both sides of the equation by x
100=49.834951456311*x       - we divide both sides of the equation by (49.834951456311) to get x
100/49.834951456311=x
2.0066238067407=x
x=2.0066238067407

now we have:
1.03 is 2.0066238067407% of 51.33