83 is what percent of 210000 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 210000 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 210000, so we can write it down as 100%=210000.
4. We know, that x% equals 83 of the output value, so we can write it down as x%=83.
5. Now we have two simple equations:
1) 100%=210000
2) x%=83
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%=210000/83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83 is what percent of 210000

100%/x%=210000/83
(100/x)*x=(210000/83)*x       - we multiply both sides of the equation by x
100=2530.1204819277*x       - we divide both sides of the equation by (2530.1204819277) to get x
100/2530.1204819277=x
0.03952380952381=x
x=0.03952380952381

now we have:
83 is 0.03952380952381% of 210000

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