761.03 is what percent of 12042.29 - 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 12042.29 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 12042.29, so we can write it down as 100%=12042.29.
4. We know, that x% equals 761.03 of the output value, so we can write it down as x%=761.03.
5. Now we have two simple equations:
1) 100%=12042.29
2) x%=761.03
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%=12042.29/761.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 761.03 is what percent of 12042.29

100%/x%=12042.29/761.03
(100/x)*x=(12042.29/761.03)*x       - we multiply both sides of the equation by x
100=15.82367317977*x       - we divide both sides of the equation by (15.82367317977) to get x
100/15.82367317977=x
6.3196451837649=x
x=6.3196451837649

now we have:
761.03 is 6.3196451837649% of 12042.29