502.9 is what percent of 1067.99 - 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 1067.99 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 1067.99, so we can write it down as 100%=1067.99.
4. We know, that x% equals 502.9 of the output value, so we can write it down as x%=502.9.
5. Now we have two simple equations:
1) 100%=1067.99
2) x%=502.9
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%=1067.99/502.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 502.9 is what percent of 1067.99

100%/x%=1067.99/502.9
(100/x)*x=(1067.99/502.9)*x       - we multiply both sides of the equation by x
100=2.1236627560151*x       - we divide both sides of the equation by (2.1236627560151) to get x
100/2.1236627560151=x
47.088455884418=x
x=47.088455884418

now we have:
502.9 is 47.088455884418% of 1067.99