20.03 is what percent of 830 - 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 830 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 830, so we can write it down as 100%=830.
4. We know, that x% equals 20.03 of the output value, so we can write it down as x%=20.03.
5. Now we have two simple equations:
1) 100%=830
2) x%=20.03
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%=830/20.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.03 is what percent of 830

100%/x%=830/20.03
(100/x)*x=(830/20.03)*x       - we multiply both sides of the equation by x
100=41.437843235147*x       - we divide both sides of the equation by (41.437843235147) to get x
100/41.437843235147=x
2.4132530120482=x
x=2.4132530120482

now we have:
20.03 is 2.4132530120482% of 830